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Finding the Third Proportional to 61,472 and 134,116

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Solution

The third proportional to 61,472 and 134,116 is: 292,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,472 : 134,116 = 134,116 : x
  2. Step 2: Convert to fraction form
    61,472/134,116 = 134,116/x
  3. Step 3: Cross multiply
    61,472x = 134,116 × 134,116
  4. Step 4: Simplify right side
    61,472x = 17,987,101,456
  5. Step 5: Solve for x
    x = 17,987,101,456/61,472
  6. Step 6: Final answer
    x = 292,606.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.