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Finding the Third Proportional to 59,759 and 130,387

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Solution

The third proportional to 59,759 and 130,387 is: 284,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,759 : 130,387 = 130,387 : x
  2. Step 2: Convert to fraction form
    59,759/130,387 = 130,387/x
  3. Step 3: Cross multiply
    59,759x = 130,387 × 130,387
  4. Step 4: Simplify right side
    59,759x = 17,000,769,769
  5. Step 5: Solve for x
    x = 17,000,769,769/59,759
  6. Step 6: Final answer
    x = 284,488.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.