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Finding the Third Proportional to 126,645.19 and 200,539.13

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Solution

The third proportional to 126,645.19 and 200,539.13 is: 317,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,645.19 : 200,539.13 = 200,539.13 : x
  2. Step 2: Convert to fraction form
    126,645.19/200,539.13 = 200,539.13/x
  3. Step 3: Cross multiply
    126,645.19x = 200,539.13 × 200,539.13
  4. Step 4: Simplify right side
    126,645.19x = 40,215,940,655.77
  5. Step 5: Solve for x
    x = 40,215,940,655.77/126,645.19
  6. Step 6: Final answer
    x = 317,548.12

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