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Finding the Third Proportional to 67,572 and 101,115

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Solution

The third proportional to 67,572 and 101,115 is: 151,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,572 : 101,115 = 101,115 : x
  2. Step 2: Convert to fraction form
    67,572/101,115 = 101,115/x
  3. Step 3: Cross multiply
    67,572x = 101,115 × 101,115
  4. Step 4: Simplify right side
    67,572x = 10,224,243,225
  5. Step 5: Solve for x
    x = 10,224,243,225/67,572
  6. Step 6: Final answer
    x = 151,308.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.