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Finding the Third Proportional to 51,399.19 and 77,098.88

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Solution

The third proportional to 51,399.19 and 77,098.88 is: 115,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,399.19 : 77,098.88 = 77,098.88 : x
  2. Step 2: Convert to fraction form
    51,399.19/77,098.88 = 77,098.88/x
  3. Step 3: Cross multiply
    51,399.19x = 77,098.88 × 77,098.88
  4. Step 4: Simplify right side
    51,399.19x = 5,944,236,526.27
  5. Step 5: Solve for x
    x = 5,944,236,526.27/51,399.19
  6. Step 6: Final answer
    x = 115,648.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.