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Finding the Third Proportional to 71,853.47 and 148,319.44

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Solution

The third proportional to 71,853.47 and 148,319.44 is: 306,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,853.47 : 148,319.44 = 148,319.44 : x
  2. Step 2: Convert to fraction form
    71,853.47/148,319.44 = 148,319.44/x
  3. Step 3: Cross multiply
    71,853.47x = 148,319.44 × 148,319.44
  4. Step 4: Simplify right side
    71,853.47x = 21,998,655,540.32
  5. Step 5: Solve for x
    x = 21,998,655,540.32/71,853.47
  6. Step 6: Final answer
    x = 306,159.97

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.