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Finding the Third Proportional to 52,586.72 and 112,562.16

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Solution

The third proportional to 52,586.72 and 112,562.16 is: 240,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,586.72 : 112,562.16 = 112,562.16 : x
  2. Step 2: Convert to fraction form
    52,586.72/112,562.16 = 112,562.16/x
  3. Step 3: Cross multiply
    52,586.72x = 112,562.16 × 112,562.16
  4. Step 4: Simplify right side
    52,586.72x = 12,670,239,019.65
  5. Step 5: Solve for x
    x = 12,670,239,019.65/52,586.72
  6. Step 6: Final answer
    x = 240,939.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.