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Finding the Third Proportional to 56,103.88 and 122,765.13

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Solution

The third proportional to 56,103.88 and 122,765.13 is: 268,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,103.88 : 122,765.13 = 122,765.13 : x
  2. Step 2: Convert to fraction form
    56,103.88/122,765.13 = 122,765.13/x
  3. Step 3: Cross multiply
    56,103.88x = 122,765.13 × 122,765.13
  4. Step 4: Simplify right side
    56,103.88x = 15,071,275,916.27
  5. Step 5: Solve for x
    x = 15,071,275,916.27/56,103.88
  6. Step 6: Final answer
    x = 268,631.64

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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.