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Finding the Third Proportional to 56,062.13 and 129,655.69

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Solution

The third proportional to 56,062.13 and 129,655.69 is: 299,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,062.13 : 129,655.69 = 129,655.69 : x
  2. Step 2: Convert to fraction form
    56,062.13/129,655.69 = 129,655.69/x
  3. Step 3: Cross multiply
    56,062.13x = 129,655.69 × 129,655.69
  4. Step 4: Simplify right side
    56,062.13x = 16,810,597,301.10
  5. Step 5: Solve for x
    x = 16,810,597,301.10/56,062.13
  6. Step 6: Final answer
    x = 299,856.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.