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Finding the Third Proportional to 61,543 and 134,474

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Solution

The third proportional to 61,543 and 134,474 is: 293,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,543 : 134,474 = 134,474 : x
  2. Step 2: Convert to fraction form
    61,543/134,474 = 134,474/x
  3. Step 3: Cross multiply
    61,543x = 134,474 × 134,474
  4. Step 4: Simplify right side
    61,543x = 18,083,256,676
  5. Step 5: Solve for x
    x = 18,083,256,676/61,543
  6. Step 6: Final answer
    x = 293,831.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.