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Finding the Third Proportional to 48,181.50 and 74,151

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Solution

The third proportional to 48,181.50 and 74,151 is: 114,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,181.50 : 74,151 = 74,151 : x
  2. Step 2: Convert to fraction form
    48,181.50/74,151 = 74,151/x
  3. Step 3: Cross multiply
    48,181.50x = 74,151 × 74,151
  4. Step 4: Simplify right side
    48,181.50x = 5,498,370,801
  5. Step 5: Solve for x
    x = 5,498,370,801/48,181.50
  6. Step 6: Final answer
    x = 114,117.88

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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.