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Finding the Third Proportional to 59,729 and 130,931

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Solution

The third proportional to 59,729 and 130,931 is: 287,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,729 : 130,931 = 130,931 : x
  2. Step 2: Convert to fraction form
    59,729/130,931 = 130,931/x
  3. Step 3: Cross multiply
    59,729x = 130,931 × 130,931
  4. Step 4: Simplify right side
    59,729x = 17,142,926,761
  5. Step 5: Solve for x
    x = 17,142,926,761/59,729
  6. Step 6: Final answer
    x = 287,011.78

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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.