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Finding the Third Proportional to 57,480 and 123,360

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Solution

The third proportional to 57,480 and 123,360 is: 264,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,480 : 123,360 = 123,360 : x
  2. Step 2: Convert to fraction form
    57,480/123,360 = 123,360/x
  3. Step 3: Cross multiply
    57,480x = 123,360 × 123,360
  4. Step 4: Simplify right side
    57,480x = 15,217,689,600
  5. Step 5: Solve for x
    x = 15,217,689,600/57,480
  6. Step 6: Final answer
    x = 264,747.56

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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.