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Finding the Third Proportional to 60,482 and 94,035

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Solution

The third proportional to 60,482 and 94,035 is: 146,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,482 : 94,035 = 94,035 : x
  2. Step 2: Convert to fraction form
    60,482/94,035 = 94,035/x
  3. Step 3: Cross multiply
    60,482x = 94,035 × 94,035
  4. Step 4: Simplify right side
    60,482x = 8,842,581,225
  5. Step 5: Solve for x
    x = 8,842,581,225/60,482
  6. Step 6: Final answer
    x = 146,201.87

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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.