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Finding the Third Proportional to 127,972.50 and 275,567

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Solution

The third proportional to 127,972.50 and 275,567 is: 593,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972.50 : 275,567 = 275,567 : x
  2. Step 2: Convert to fraction form
    127,972.50/275,567 = 275,567/x
  3. Step 3: Cross multiply
    127,972.50x = 275,567 × 275,567
  4. Step 4: Simplify right side
    127,972.50x = 75,937,171,489
  5. Step 5: Solve for x
    x = 75,937,171,489/127,972.50
  6. Step 6: Final answer
    x = 593,386.64

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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.