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Finding the Third Proportional to 55,527.50 and 85,886.50

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Solution

The third proportional to 55,527.50 and 85,886.50 is: 132,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,527.50 : 85,886.50 = 85,886.50 : x
  2. Step 2: Convert to fraction form
    55,527.50/85,886.50 = 85,886.50/x
  3. Step 3: Cross multiply
    55,527.50x = 85,886.50 × 85,886.50
  4. Step 4: Simplify right side
    55,527.50x = 7,376,490,882.25
  5. Step 5: Solve for x
    x = 7,376,490,882.25/55,527.50
  6. Step 6: Final answer
    x = 132,843.92

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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.