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Finding the Third Proportional to 126,918 and 168,472.50

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Solution

The third proportional to 126,918 and 168,472.50 is: 223,632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,918 : 168,472.50 = 168,472.50 : x
  2. Step 2: Convert to fraction form
    126,918/168,472.50 = 168,472.50/x
  3. Step 3: Cross multiply
    126,918x = 168,472.50 × 168,472.50
  4. Step 4: Simplify right side
    126,918x = 28,382,983,256.25
  5. Step 5: Solve for x
    x = 28,382,983,256.25/126,918
  6. Step 6: Final answer
    x = 223,632.45

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.