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Finding the Third Proportional to 60,648.75 and 127,581.75

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Solution

The third proportional to 60,648.75 and 127,581.75 is: 268,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,648.75 : 127,581.75 = 127,581.75 : x
  2. Step 2: Convert to fraction form
    60,648.75/127,581.75 = 127,581.75/x
  3. Step 3: Cross multiply
    60,648.75x = 127,581.75 × 127,581.75
  4. Step 4: Simplify right side
    60,648.75x = 16,277,102,933.06
  5. Step 5: Solve for x
    x = 16,277,102,933.06/60,648.75
  6. Step 6: Final answer
    x = 268,383.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.