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Finding the Third Proportional to 67,472 and 100,842

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Solution

The third proportional to 67,472 and 100,842 is: 150,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,472 : 100,842 = 100,842 : x
  2. Step 2: Convert to fraction form
    67,472/100,842 = 100,842/x
  3. Step 3: Cross multiply
    67,472x = 100,842 × 100,842
  4. Step 4: Simplify right side
    67,472x = 10,169,108,964
  5. Step 5: Solve for x
    x = 10,169,108,964/67,472
  6. Step 6: Final answer
    x = 150,715.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.