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Finding the Third Proportional to 127,577.53 and 274,655.81

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Solution

The third proportional to 127,577.53 and 274,655.81 is: 591,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,577.53 : 274,655.81 = 274,655.81 : x
  2. Step 2: Convert to fraction form
    127,577.53/274,655.81 = 274,655.81/x
  3. Step 3: Cross multiply
    127,577.53x = 274,655.81 × 274,655.81
  4. Step 4: Simplify right side
    127,577.53x = 75,435,815,340.04
  5. Step 5: Solve for x
    x = 75,435,815,340.04/127,577.53
  6. Step 6: Final answer
    x = 591,293.89

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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.