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Finding the Third Proportional to 84,062.81 and 126,438.47

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Solution

The third proportional to 84,062.81 and 126,438.47 is: 190,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,062.81 : 126,438.47 = 126,438.47 : x
  2. Step 2: Convert to fraction form
    84,062.81/126,438.47 = 126,438.47/x
  3. Step 3: Cross multiply
    84,062.81x = 126,438.47 × 126,438.47
  4. Step 4: Simplify right side
    84,062.81x = 15,986,686,379.84
  5. Step 5: Solve for x
    x = 15,986,686,379.84/84,062.81
  6. Step 6: Final answer
    x = 190,175.49

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Why These Related Problems?

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