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Finding the Third Proportional to 127,593.50 and 274,685

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Solution

The third proportional to 127,593.50 and 274,685 is: 591,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,593.50 : 274,685 = 274,685 : x
  2. Step 2: Convert to fraction form
    127,593.50/274,685 = 274,685/x
  3. Step 3: Cross multiply
    127,593.50x = 274,685 × 274,685
  4. Step 4: Simplify right side
    127,593.50x = 75,451,849,225
  5. Step 5: Solve for x
    x = 75,451,849,225/127,593.50
  6. Step 6: Final answer
    x = 591,345.56

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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.