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Finding the Third Proportional to 59,601 and 130,581

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Solution

The third proportional to 59,601 and 130,581 is: 286,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,601 : 130,581 = 130,581 : x
  2. Step 2: Convert to fraction form
    59,601/130,581 = 130,581/x
  3. Step 3: Cross multiply
    59,601x = 130,581 × 130,581
  4. Step 4: Simplify right side
    59,601x = 17,051,397,561
  5. Step 5: Solve for x
    x = 17,051,397,561/59,601
  6. Step 6: Final answer
    x = 286,092.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.