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Finding the Third Proportional to 88,597 and 187,199

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Solution

The third proportional to 88,597 and 187,199 is: 395,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,597 : 187,199 = 187,199 : x
  2. Step 2: Convert to fraction form
    88,597/187,199 = 187,199/x
  3. Step 3: Cross multiply
    88,597x = 187,199 × 187,199
  4. Step 4: Simplify right side
    88,597x = 35,043,465,601
  5. Step 5: Solve for x
    x = 35,043,465,601/88,597
  6. Step 6: Final answer
    x = 395,537.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.