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Finding the Third Proportional to 59,122 and 89,908

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Solution

The third proportional to 59,122 and 89,908 is: 136,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,122 : 89,908 = 89,908 : x
  2. Step 2: Convert to fraction form
    59,122/89,908 = 89,908/x
  3. Step 3: Cross multiply
    59,122x = 89,908 × 89,908
  4. Step 4: Simplify right side
    59,122x = 8,083,448,464
  5. Step 5: Solve for x
    x = 8,083,448,464/59,122
  6. Step 6: Final answer
    x = 136,724.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.