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Finding the Third Proportional to 127,066.13 and 169,398

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Solution

The third proportional to 127,066.13 and 169,398 is: 225,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,066.13 : 169,398 = 169,398 : x
  2. Step 2: Convert to fraction form
    127,066.13/169,398 = 169,398/x
  3. Step 3: Cross multiply
    127,066.13x = 169,398 × 169,398
  4. Step 4: Simplify right side
    127,066.13x = 28,695,682,404
  5. Step 5: Solve for x
    x = 28,695,682,404/127,066.13
  6. Step 6: Final answer
    x = 225,832.67

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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.