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Finding the Third Proportional to 67,966.31 and 103,739.06

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Solution

The third proportional to 67,966.31 and 103,739.06 is: 158,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,966.31 : 103,739.06 = 103,739.06 : x
  2. Step 2: Convert to fraction form
    67,966.31/103,739.06 = 103,739.06/x
  3. Step 3: Cross multiply
    67,966.31x = 103,739.06 × 103,739.06
  4. Step 4: Simplify right side
    67,966.31x = 10,761,793,088.38
  5. Step 5: Solve for x
    x = 10,761,793,088.38/67,966.31
  6. Step 6: Final answer
    x = 158,340.11

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.