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Finding the Third Proportional to 121,843.55 and 271,702.55

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Solution

The third proportional to 121,843.55 and 271,702.55 is: 605,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,843.55 : 271,702.55 = 271,702.55 : x
  2. Step 2: Convert to fraction form
    121,843.55/271,702.55 = 271,702.55/x
  3. Step 3: Cross multiply
    121,843.55x = 271,702.55 × 271,702.55
  4. Step 4: Simplify right side
    121,843.55x = 73,822,273,978.36
  5. Step 5: Solve for x
    x = 73,822,273,978.36/121,843.55
  6. Step 6: Final answer
    x = 605,877.59

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.