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Finding the Third Proportional to 59,627 and 89,441

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Solution

The third proportional to 59,627 and 89,441 is: 134,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,627 : 89,441 = 89,441 : x
  2. Step 2: Convert to fraction form
    59,627/89,441 = 89,441/x
  3. Step 3: Cross multiply
    59,627x = 89,441 × 89,441
  4. Step 4: Simplify right side
    59,627x = 7,999,692,481
  5. Step 5: Solve for x
    x = 7,999,692,481/59,627
  6. Step 6: Final answer
    x = 134,162.25

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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.