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Finding the Third Proportional to 97,882 and 187,986

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Solution

The third proportional to 97,882 and 187,986 is: 361,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,882 : 187,986 = 187,986 : x
  2. Step 2: Convert to fraction form
    97,882/187,986 = 187,986/x
  3. Step 3: Cross multiply
    97,882x = 187,986 × 187,986
  4. Step 4: Simplify right side
    97,882x = 35,338,736,196
  5. Step 5: Solve for x
    x = 35,338,736,196/97,882
  6. Step 6: Final answer
    x = 361,034.06

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.