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Finding the Third Proportional to 84,507.33 and 126,497.74

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Solution

The third proportional to 84,507.33 and 126,497.74 is: 189,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,507.33 : 126,497.74 = 126,497.74 : x
  2. Step 2: Convert to fraction form
    84,507.33/126,497.74 = 126,497.74/x
  3. Step 3: Cross multiply
    84,507.33x = 126,497.74 × 126,497.74
  4. Step 4: Simplify right side
    84,507.33x = 16,001,678,778.54
  5. Step 5: Solve for x
    x = 16,001,678,778.54/84,507.33
  6. Step 6: Final answer
    x = 189,352.56

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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.