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Finding the Third Proportional to 61,398 and 95,094

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Solution

The third proportional to 61,398 and 95,094 is: 147,282.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,398 : 95,094 = 95,094 : x
  2. Step 2: Convert to fraction form
    61,398/95,094 = 95,094/x
  3. Step 3: Cross multiply
    61,398x = 95,094 × 95,094
  4. Step 4: Simplify right side
    61,398x = 9,042,868,836
  5. Step 5: Solve for x
    x = 9,042,868,836/61,398
  6. Step 6: Final answer
    x = 147,282.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.