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Finding the Third Proportional to 51,436 and 112,484

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Solution

The third proportional to 51,436 and 112,484 is: 245,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,436 : 112,484 = 112,484 : x
  2. Step 2: Convert to fraction form
    51,436/112,484 = 112,484/x
  3. Step 3: Cross multiply
    51,436x = 112,484 × 112,484
  4. Step 4: Simplify right side
    51,436x = 12,652,650,256
  5. Step 5: Solve for x
    x = 12,652,650,256/51,436
  6. Step 6: Final answer
    x = 245,988.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.