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Finding the Third Proportional to 51,098.34 and 75,861.56

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Solution

The third proportional to 51,098.34 and 75,861.56 is: 112,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098.34 : 75,861.56 = 75,861.56 : x
  2. Step 2: Convert to fraction form
    51,098.34/75,861.56 = 75,861.56/x
  3. Step 3: Cross multiply
    51,098.34x = 75,861.56 × 75,861.56
  4. Step 4: Simplify right side
    51,098.34x = 5,754,976,664.94
  5. Step 5: Solve for x
    x = 5,754,976,664.94/51,098.34
  6. Step 6: Final answer
    x = 112,625.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.