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Finding the Third Proportional to 44,874 and 97,180

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Solution

The third proportional to 44,874 and 97,180 is: 210,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,874 : 97,180 = 97,180 : x
  2. Step 2: Convert to fraction form
    44,874/97,180 = 97,180/x
  3. Step 3: Cross multiply
    44,874x = 97,180 × 97,180
  4. Step 4: Simplify right side
    44,874x = 9,443,952,400
  5. Step 5: Solve for x
    x = 9,443,952,400/44,874
  6. Step 6: Final answer
    x = 210,454.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.