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Finding the Third Proportional to 42,242.13 and 65,786.55

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Solution

The third proportional to 42,242.13 and 65,786.55 is: 102,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,242.13 : 65,786.55 = 65,786.55 : x
  2. Step 2: Convert to fraction form
    42,242.13/65,786.55 = 65,786.55/x
  3. Step 3: Cross multiply
    42,242.13x = 65,786.55 × 65,786.55
  4. Step 4: Simplify right side
    42,242.13x = 4,327,870,777.65
  5. Step 5: Solve for x
    x = 4,327,870,777.65/42,242.13
  6. Step 6: Final answer
    x = 102,453.89

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.