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Finding the Third Proportional to 61,540 and 134,168

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Solution

The third proportional to 61,540 and 134,168 is: 292,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,540 : 134,168 = 134,168 : x
  2. Step 2: Convert to fraction form
    61,540/134,168 = 134,168/x
  3. Step 3: Cross multiply
    61,540x = 134,168 × 134,168
  4. Step 4: Simplify right side
    61,540x = 18,001,052,224
  5. Step 5: Solve for x
    x = 18,001,052,224/61,540
  6. Step 6: Final answer
    x = 292,509.79

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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.