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Finding the Third Proportional to 59,049 and 129,124.13

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Solution

The third proportional to 59,049 and 129,124.13 is: 282,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,049 : 129,124.13 = 129,124.13 : x
  2. Step 2: Convert to fraction form
    59,049/129,124.13 = 129,124.13/x
  3. Step 3: Cross multiply
    59,049x = 129,124.13 × 129,124.13
  4. Step 4: Simplify right side
    59,049x = 16,673,039,657.02
  5. Step 5: Solve for x
    x = 16,673,039,657.02/59,049
  6. Step 6: Final answer
    x = 282,359.39

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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.