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Finding the Third Proportional to 59,459.06 and 129,932.86

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Solution

The third proportional to 59,459.06 and 129,932.86 is: 283,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,459.06 : 129,932.86 = 129,932.86 : x
  2. Step 2: Convert to fraction form
    59,459.06/129,932.86 = 129,932.86/x
  3. Step 3: Cross multiply
    59,459.06x = 129,932.86 × 129,932.86
  4. Step 4: Simplify right side
    59,459.06x = 16,882,547,945.36
  5. Step 5: Solve for x
    x = 16,882,547,945.36/59,459.06
  6. Step 6: Final answer
    x = 283,935.66

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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.