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Finding the Third Proportional to 73,981 and 112,815.50

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Solution

The third proportional to 73,981 and 112,815.50 is: 172,035.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,981 : 112,815.50 = 112,815.50 : x
  2. Step 2: Convert to fraction form
    73,981/112,815.50 = 112,815.50/x
  3. Step 3: Cross multiply
    73,981x = 112,815.50 × 112,815.50
  4. Step 4: Simplify right side
    73,981x = 12,727,337,040.25
  5. Step 5: Solve for x
    x = 12,727,337,040.25/73,981
  6. Step 6: Final answer
    x = 172,035.21

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.