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Finding the Third Proportional to 86,807.50 and 131,300

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Solution

The third proportional to 86,807.50 and 131,300 is: 198,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,807.50 : 131,300 = 131,300 : x
  2. Step 2: Convert to fraction form
    86,807.50/131,300 = 131,300/x
  3. Step 3: Cross multiply
    86,807.50x = 131,300 × 131,300
  4. Step 4: Simplify right side
    86,807.50x = 17,239,690,000
  5. Step 5: Solve for x
    x = 17,239,690,000/86,807.50
  6. Step 6: Final answer
    x = 198,596.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.