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Finding the Third Proportional to 67,060.50 and 145,654.50

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Solution

The third proportional to 67,060.50 and 145,654.50 is: 316,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,060.50 : 145,654.50 = 145,654.50 : x
  2. Step 2: Convert to fraction form
    67,060.50/145,654.50 = 145,654.50/x
  3. Step 3: Cross multiply
    67,060.50x = 145,654.50 × 145,654.50
  4. Step 4: Simplify right side
    67,060.50x = 21,215,233,370.25
  5. Step 5: Solve for x
    x = 21,215,233,370.25/67,060.50
  6. Step 6: Final answer
    x = 316,359.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.