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Finding the Third Proportional to 127,452 and 275,640

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Solution

The third proportional to 127,452 and 275,640 is: 596,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,452 : 275,640 = 275,640 : x
  2. Step 2: Convert to fraction form
    127,452/275,640 = 275,640/x
  3. Step 3: Cross multiply
    127,452x = 275,640 × 275,640
  4. Step 4: Simplify right side
    127,452x = 75,977,409,600
  5. Step 5: Solve for x
    x = 75,977,409,600/127,452
  6. Step 6: Final answer
    x = 596,125.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.