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Finding the Third Proportional to 59,636 and 89,454

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Solution

The third proportional to 59,636 and 89,454 is: 134,181

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,636 : 89,454 = 89,454 : x
  2. Step 2: Convert to fraction form
    59,636/89,454 = 89,454/x
  3. Step 3: Cross multiply
    59,636x = 89,454 × 89,454
  4. Step 4: Simplify right side
    59,636x = 8,002,018,116
  5. Step 5: Solve for x
    x = 8,002,018,116/59,636
  6. Step 6: Final answer
    x = 134,181

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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.