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Finding the Third Proportional to 71,521.31 and 152,539.88

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Solution

The third proportional to 71,521.31 and 152,539.88 is: 325,335.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,521.31 : 152,539.88 = 152,539.88 : x
  2. Step 2: Convert to fraction form
    71,521.31/152,539.88 = 152,539.88/x
  3. Step 3: Cross multiply
    71,521.31x = 152,539.88 × 152,539.88
  4. Step 4: Simplify right side
    71,521.31x = 23,268,413,465.02
  5. Step 5: Solve for x
    x = 23,268,413,465.02/71,521.31
  6. Step 6: Final answer
    x = 325,335.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.