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Finding the Third Proportional to 60,472 and 95,347

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Solution

The third proportional to 60,472 and 95,347 is: 150,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,472 : 95,347 = 95,347 : x
  2. Step 2: Convert to fraction form
    60,472/95,347 = 95,347/x
  3. Step 3: Cross multiply
    60,472x = 95,347 × 95,347
  4. Step 4: Simplify right side
    60,472x = 9,091,050,409
  5. Step 5: Solve for x
    x = 9,091,050,409/60,472
  6. Step 6: Final answer
    x = 150,334.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.