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Finding the Third Proportional to 76,549.50 and 108,870.75

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Solution

The third proportional to 76,549.50 and 108,870.75 is: 154,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.50 : 108,870.75 = 108,870.75 : x
  2. Step 2: Convert to fraction form
    76,549.50/108,870.75 = 108,870.75/x
  3. Step 3: Cross multiply
    76,549.50x = 108,870.75 × 108,870.75
  4. Step 4: Simplify right side
    76,549.50x = 11,852,840,205.56
  5. Step 5: Solve for x
    x = 11,852,840,205.56/76,549.50
  6. Step 6: Final answer
    x = 154,838.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.