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Finding the Third Proportional to 61,089.19 and 80,326.69

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Solution

The third proportional to 61,089.19 and 80,326.69 is: 105,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,089.19 : 80,326.69 = 80,326.69 : x
  2. Step 2: Convert to fraction form
    61,089.19/80,326.69 = 80,326.69/x
  3. Step 3: Cross multiply
    61,089.19x = 80,326.69 × 80,326.69
  4. Step 4: Simplify right side
    61,089.19x = 6,452,376,724.72
  5. Step 5: Solve for x
    x = 6,452,376,724.72/61,089.19
  6. Step 6: Final answer
    x = 105,622.24

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.