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Finding the Third Proportional to 59,141 and 89,328

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Solution

The third proportional to 59,141 and 89,328 is: 134,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,141 : 89,328 = 89,328 : x
  2. Step 2: Convert to fraction form
    59,141/89,328 = 89,328/x
  3. Step 3: Cross multiply
    59,141x = 89,328 × 89,328
  4. Step 4: Simplify right side
    59,141x = 7,979,491,584
  5. Step 5: Solve for x
    x = 7,979,491,584/59,141
  6. Step 6: Final answer
    x = 134,923.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.