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Finding the Third Proportional to 59,344 and 89,264

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Solution

The third proportional to 59,344 and 89,264 is: 134,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,344 : 89,264 = 89,264 : x
  2. Step 2: Convert to fraction form
    59,344/89,264 = 89,264/x
  3. Step 3: Cross multiply
    59,344x = 89,264 × 89,264
  4. Step 4: Simplify right side
    59,344x = 7,968,061,696
  5. Step 5: Solve for x
    x = 7,968,061,696/59,344
  6. Step 6: Final answer
    x = 134,269.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.