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Finding the Third Proportional to 67,882 and 148,887

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Solution

The third proportional to 67,882 and 148,887 is: 326,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882 : 148,887 = 148,887 : x
  2. Step 2: Convert to fraction form
    67,882/148,887 = 148,887/x
  3. Step 3: Cross multiply
    67,882x = 148,887 × 148,887
  4. Step 4: Simplify right side
    67,882x = 22,167,338,769
  5. Step 5: Solve for x
    x = 22,167,338,769/67,882
  6. Step 6: Final answer
    x = 326,556.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.