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Finding the Third Proportional to 71,568.56 and 105,165.84

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Solution

The third proportional to 71,568.56 and 105,165.84 is: 154,535.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568.56 : 105,165.84 = 105,165.84 : x
  2. Step 2: Convert to fraction form
    71,568.56/105,165.84 = 105,165.84/x
  3. Step 3: Cross multiply
    71,568.56x = 105,165.84 × 105,165.84
  4. Step 4: Simplify right side
    71,568.56x = 11,059,854,691.65
  5. Step 5: Solve for x
    x = 11,059,854,691.65/71,568.56
  6. Step 6: Final answer
    x = 154,535.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.