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Finding the Third Proportional to 44,322 and 96,580

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Solution

The third proportional to 44,322 and 96,580 is: 210,452.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,322 : 96,580 = 96,580 : x
  2. Step 2: Convert to fraction form
    44,322/96,580 = 96,580/x
  3. Step 3: Cross multiply
    44,322x = 96,580 × 96,580
  4. Step 4: Simplify right side
    44,322x = 9,327,696,400
  5. Step 5: Solve for x
    x = 9,327,696,400/44,322
  6. Step 6: Final answer
    x = 210,452.97

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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.