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Finding the Third Proportional to 67,872 and 145,776

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Solution

The third proportional to 67,872 and 145,776 is: 313,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872 : 145,776 = 145,776 : x
  2. Step 2: Convert to fraction form
    67,872/145,776 = 145,776/x
  3. Step 3: Cross multiply
    67,872x = 145,776 × 145,776
  4. Step 4: Simplify right side
    67,872x = 21,250,642,176
  5. Step 5: Solve for x
    x = 21,250,642,176/67,872
  6. Step 6: Final answer
    x = 313,098.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.