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Finding the Third Proportional to 123,813.56 and 271,360.13

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Solution

The third proportional to 123,813.56 and 271,360.13 is: 594,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,813.56 : 271,360.13 = 271,360.13 : x
  2. Step 2: Convert to fraction form
    123,813.56/271,360.13 = 271,360.13/x
  3. Step 3: Cross multiply
    123,813.56x = 271,360.13 × 271,360.13
  4. Step 4: Simplify right side
    123,813.56x = 73,636,317,440.02
  5. Step 5: Solve for x
    x = 73,636,317,440.02/123,813.56
  6. Step 6: Final answer
    x = 594,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.