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Finding the Third Proportional to 67,491 and 146,637

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Solution

The third proportional to 67,491 and 146,637 is: 318,596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,491 : 146,637 = 146,637 : x
  2. Step 2: Convert to fraction form
    67,491/146,637 = 146,637/x
  3. Step 3: Cross multiply
    67,491x = 146,637 × 146,637
  4. Step 4: Simplify right side
    67,491x = 21,502,409,769
  5. Step 5: Solve for x
    x = 21,502,409,769/67,491
  6. Step 6: Final answer
    x = 318,596.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.