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Finding the Third Proportional to 59,116 and 129,729

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Solution

The third proportional to 59,116 and 129,729 is: 284,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,116 : 129,729 = 129,729 : x
  2. Step 2: Convert to fraction form
    59,116/129,729 = 129,729/x
  3. Step 3: Cross multiply
    59,116x = 129,729 × 129,729
  4. Step 4: Simplify right side
    59,116x = 16,829,613,441
  5. Step 5: Solve for x
    x = 16,829,613,441/59,116
  6. Step 6: Final answer
    x = 284,687.96

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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.