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Finding the Third Proportional to 126,852.75 and 200,713.50

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Solution

The third proportional to 126,852.75 and 200,713.50 is: 317,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,852.75 : 200,713.50 = 200,713.50 : x
  2. Step 2: Convert to fraction form
    126,852.75/200,713.50 = 200,713.50/x
  3. Step 3: Cross multiply
    126,852.75x = 200,713.50 × 200,713.50
  4. Step 4: Simplify right side
    126,852.75x = 40,285,909,082.25
  5. Step 5: Solve for x
    x = 40,285,909,082.25/126,852.75
  6. Step 6: Final answer
    x = 317,580.10

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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.