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Finding the Third Proportional to 126,966.38 and 200,876.06

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Solution

The third proportional to 126,966.38 and 200,876.06 is: 317,810.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,966.38 : 200,876.06 = 200,876.06 : x
  2. Step 2: Convert to fraction form
    126,966.38/200,876.06 = 200,876.06/x
  3. Step 3: Cross multiply
    126,966.38x = 200,876.06 × 200,876.06
  4. Step 4: Simplify right side
    126,966.38x = 40,351,192,485.50
  5. Step 5: Solve for x
    x = 40,351,192,485.50/126,966.38
  6. Step 6: Final answer
    x = 317,810.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.