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Finding the Third Proportional to 59,774 and 89,535

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Solution

The third proportional to 59,774 and 89,535 is: 134,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,774 : 89,535 = 89,535 : x
  2. Step 2: Convert to fraction form
    59,774/89,535 = 89,535/x
  3. Step 3: Cross multiply
    59,774x = 89,535 × 89,535
  4. Step 4: Simplify right side
    59,774x = 8,016,516,225
  5. Step 5: Solve for x
    x = 8,016,516,225/59,774
  6. Step 6: Final answer
    x = 134,113.77

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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.