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Finding the Third Proportional to 67,642.50 and 105,147

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Solution

The third proportional to 67,642.50 and 105,147 is: 163,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,642.50 : 105,147 = 105,147 : x
  2. Step 2: Convert to fraction form
    67,642.50/105,147 = 105,147/x
  3. Step 3: Cross multiply
    67,642.50x = 105,147 × 105,147
  4. Step 4: Simplify right side
    67,642.50x = 11,055,891,609
  5. Step 5: Solve for x
    x = 11,055,891,609/67,642.50
  6. Step 6: Final answer
    x = 163,445.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.