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Finding the Third Proportional to 57,435 and 89,069

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Solution

The third proportional to 57,435 and 89,069 is: 138,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,435 : 89,069 = 89,069 : x
  2. Step 2: Convert to fraction form
    57,435/89,069 = 89,069/x
  3. Step 3: Cross multiply
    57,435x = 89,069 × 89,069
  4. Step 4: Simplify right side
    57,435x = 7,933,286,761
  5. Step 5: Solve for x
    x = 7,933,286,761/57,435
  6. Step 6: Final answer
    x = 138,126.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.