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Finding the Third Proportional to 44,672 and 88,216

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Solution

The third proportional to 44,672 and 88,216 is: 174,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,672 : 88,216 = 88,216 : x
  2. Step 2: Convert to fraction form
    44,672/88,216 = 88,216/x
  3. Step 3: Cross multiply
    44,672x = 88,216 × 88,216
  4. Step 4: Simplify right side
    44,672x = 7,782,062,656
  5. Step 5: Solve for x
    x = 7,782,062,656/44,672
  6. Step 6: Final answer
    x = 174,204.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.