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Finding the Third Proportional to 95,658 and 138,281

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Solution

The third proportional to 95,658 and 138,281 is: 199,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,658 : 138,281 = 138,281 : x
  2. Step 2: Convert to fraction form
    95,658/138,281 = 138,281/x
  3. Step 3: Cross multiply
    95,658x = 138,281 × 138,281
  4. Step 4: Simplify right side
    95,658x = 19,121,634,961
  5. Step 5: Solve for x
    x = 19,121,634,961/95,658
  6. Step 6: Final answer
    x = 199,895.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.