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Finding the Third Proportional to 57,620 and 89,432

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Solution

The third proportional to 57,620 and 89,432 is: 138,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,620 : 89,432 = 89,432 : x
  2. Step 2: Convert to fraction form
    57,620/89,432 = 89,432/x
  3. Step 3: Cross multiply
    57,620x = 89,432 × 89,432
  4. Step 4: Simplify right side
    57,620x = 7,998,082,624
  5. Step 5: Solve for x
    x = 7,998,082,624/57,620
  6. Step 6: Final answer
    x = 138,807.40

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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.