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Finding the Third Proportional to 52,870.50 and 81,990

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Solution

The third proportional to 52,870.50 and 81,990 is: 127,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,870.50 : 81,990 = 81,990 : x
  2. Step 2: Convert to fraction form
    52,870.50/81,990 = 81,990/x
  3. Step 3: Cross multiply
    52,870.50x = 81,990 × 81,990
  4. Step 4: Simplify right side
    52,870.50x = 6,722,360,100
  5. Step 5: Solve for x
    x = 6,722,360,100/52,870.50
  6. Step 6: Final answer
    x = 127,147.66

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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.