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Finding the Third Proportional to 45,446 and 96,292

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Solution

The third proportional to 45,446 and 96,292 is: 204,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,446 : 96,292 = 96,292 : x
  2. Step 2: Convert to fraction form
    45,446/96,292 = 96,292/x
  3. Step 3: Cross multiply
    45,446x = 96,292 × 96,292
  4. Step 4: Simplify right side
    45,446x = 9,272,149,264
  5. Step 5: Solve for x
    x = 9,272,149,264/45,446
  6. Step 6: Final answer
    x = 204,025.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.