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Finding the Third Proportional to 126,663.75 and 271,026

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Solution

The third proportional to 126,663.75 and 271,026 is: 579,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,663.75 : 271,026 = 271,026 : x
  2. Step 2: Convert to fraction form
    126,663.75/271,026 = 271,026/x
  3. Step 3: Cross multiply
    126,663.75x = 271,026 × 271,026
  4. Step 4: Simplify right side
    126,663.75x = 73,455,092,676
  5. Step 5: Solve for x
    x = 73,455,092,676/126,663.75
  6. Step 6: Final answer
    x = 579,921.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.