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Finding the Third Proportional to 44,680 and 121,540

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Solution

The third proportional to 44,680 and 121,540 is: 330,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,680 : 121,540 = 121,540 : x
  2. Step 2: Convert to fraction form
    44,680/121,540 = 121,540/x
  3. Step 3: Cross multiply
    44,680x = 121,540 × 121,540
  4. Step 4: Simplify right side
    44,680x = 14,771,971,600
  5. Step 5: Solve for x
    x = 14,771,971,600/44,680
  6. Step 6: Final answer
    x = 330,617.09

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.