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Finding the Third Proportional to 67,347 and 141,669

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Solution

The third proportional to 67,347 and 141,669 is: 298,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,347 : 141,669 = 141,669 : x
  2. Step 2: Convert to fraction form
    67,347/141,669 = 141,669/x
  3. Step 3: Cross multiply
    67,347x = 141,669 × 141,669
  4. Step 4: Simplify right side
    67,347x = 20,070,105,561
  5. Step 5: Solve for x
    x = 20,070,105,561/67,347
  6. Step 6: Final answer
    x = 298,010.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.