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Finding the Third Proportional to 61,555 and 94,199

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Solution

The third proportional to 61,555 and 94,199 is: 144,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,555 : 94,199 = 94,199 : x
  2. Step 2: Convert to fraction form
    61,555/94,199 = 94,199/x
  3. Step 3: Cross multiply
    61,555x = 94,199 × 94,199
  4. Step 4: Simplify right side
    61,555x = 8,873,451,601
  5. Step 5: Solve for x
    x = 8,873,451,601/61,555
  6. Step 6: Final answer
    x = 144,154.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.