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Finding the Third Proportional to 126,645.75 and 200,539.88

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Solution

The third proportional to 126,645.75 and 200,539.88 is: 317,549.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,645.75 : 200,539.88 = 200,539.88 : x
  2. Step 2: Convert to fraction form
    126,645.75/200,539.88 = 200,539.88/x
  3. Step 3: Cross multiply
    126,645.75x = 200,539.88 × 200,539.88
  4. Step 4: Simplify right side
    126,645.75x = 40,216,241,465.02
  5. Step 5: Solve for x
    x = 40,216,241,465.02/126,645.75
  6. Step 6: Final answer
    x = 317,549.08

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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.