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Finding the Third Proportional to 59,134 and 89,315

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Solution

The third proportional to 59,134 and 89,315 is: 134,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,134 : 89,315 = 89,315 : x
  2. Step 2: Convert to fraction form
    59,134/89,315 = 89,315/x
  3. Step 3: Cross multiply
    59,134x = 89,315 × 89,315
  4. Step 4: Simplify right side
    59,134x = 7,977,169,225
  5. Step 5: Solve for x
    x = 7,977,169,225/59,134
  6. Step 6: Final answer
    x = 134,899.88

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Why These Related Problems?

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