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Finding the Third Proportional to 49,272 and 108,081.75

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Solution

The third proportional to 49,272 and 108,081.75 is: 237,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,272 : 108,081.75 = 108,081.75 : x
  2. Step 2: Convert to fraction form
    49,272/108,081.75 = 108,081.75/x
  3. Step 3: Cross multiply
    49,272x = 108,081.75 × 108,081.75
  4. Step 4: Simplify right side
    49,272x = 11,681,664,683.06
  5. Step 5: Solve for x
    x = 11,681,664,683.06/49,272
  6. Step 6: Final answer
    x = 237,085.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.