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Finding the Third Proportional to 48,170.25 and 74,098.13

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Solution

The third proportional to 48,170.25 and 74,098.13 is: 113,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,170.25 : 74,098.13 = 74,098.13 : x
  2. Step 2: Convert to fraction form
    48,170.25/74,098.13 = 74,098.13/x
  3. Step 3: Cross multiply
    48,170.25x = 74,098.13 × 74,098.13
  4. Step 4: Simplify right side
    48,170.25x = 5,490,532,128.52
  5. Step 5: Solve for x
    x = 5,490,532,128.52/48,170.25
  6. Step 6: Final answer
    x = 113,981.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.