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Finding the Third Proportional to 69,340.50 and 107,577

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Solution

The third proportional to 69,340.50 and 107,577 is: 166,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,340.50 : 107,577 = 107,577 : x
  2. Step 2: Convert to fraction form
    69,340.50/107,577 = 107,577/x
  3. Step 3: Cross multiply
    69,340.50x = 107,577 × 107,577
  4. Step 4: Simplify right side
    69,340.50x = 11,572,810,929
  5. Step 5: Solve for x
    x = 11,572,810,929/69,340.50
  6. Step 6: Final answer
    x = 166,898.29

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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.