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Finding the Third Proportional to 102,124.13 and 224,407.13

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Solution

The third proportional to 102,124.13 and 224,407.13 is: 493,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124.13 : 224,407.13 = 224,407.13 : x
  2. Step 2: Convert to fraction form
    102,124.13/224,407.13 = 224,407.13/x
  3. Step 3: Cross multiply
    102,124.13x = 224,407.13 × 224,407.13
  4. Step 4: Simplify right side
    102,124.13x = 50,358,557,750.77
  5. Step 5: Solve for x
    x = 50,358,557,750.77/102,124.13
  6. Step 6: Final answer
    x = 493,111.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.