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Finding the Third Proportional to 44,672 and 121,520

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Solution

The third proportional to 44,672 and 121,520 is: 330,567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,672 : 121,520 = 121,520 : x
  2. Step 2: Convert to fraction form
    44,672/121,520 = 121,520/x
  3. Step 3: Cross multiply
    44,672x = 121,520 × 121,520
  4. Step 4: Simplify right side
    44,672x = 14,767,110,400
  5. Step 5: Solve for x
    x = 14,767,110,400/44,672
  6. Step 6: Final answer
    x = 330,567.48

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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.