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Finding the Third Proportional to 55,837.13 and 123,337.13

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Solution

The third proportional to 55,837.13 and 123,337.13 is: 272,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,837.13 : 123,337.13 = 123,337.13 : x
  2. Step 2: Convert to fraction form
    55,837.13/123,337.13 = 123,337.13/x
  3. Step 3: Cross multiply
    55,837.13x = 123,337.13 × 123,337.13
  4. Step 4: Simplify right side
    55,837.13x = 15,212,046,403.27
  5. Step 5: Solve for x
    x = 15,212,046,403.27/55,837.13
  6. Step 6: Final answer
    x = 272,436.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.