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Finding the Third Proportional to 67,624 and 145,939

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Solution

The third proportional to 67,624 and 145,939 is: 314,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,624 : 145,939 = 145,939 : x
  2. Step 2: Convert to fraction form
    67,624/145,939 = 145,939/x
  3. Step 3: Cross multiply
    67,624x = 145,939 × 145,939
  4. Step 4: Simplify right side
    67,624x = 21,298,191,721
  5. Step 5: Solve for x
    x = 21,298,191,721/67,624
  6. Step 6: Final answer
    x = 314,950.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.