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Finding the Third Proportional to 59,543.23 and 127,720.55

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Solution

The third proportional to 59,543.23 and 127,720.55 is: 273,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,543.23 : 127,720.55 = 127,720.55 : x
  2. Step 2: Convert to fraction form
    59,543.23/127,720.55 = 127,720.55/x
  3. Step 3: Cross multiply
    59,543.23x = 127,720.55 × 127,720.55
  4. Step 4: Simplify right side
    59,543.23x = 16,312,538,094.05
  5. Step 5: Solve for x
    x = 16,312,538,094.05/59,543.23
  6. Step 6: Final answer
    x = 273,961.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.