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Finding the Third Proportional to 44,987 and 96,203

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Solution

The third proportional to 44,987 and 96,203 is: 205,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,987 : 96,203 = 96,203 : x
  2. Step 2: Convert to fraction form
    44,987/96,203 = 96,203/x
  3. Step 3: Cross multiply
    44,987x = 96,203 × 96,203
  4. Step 4: Simplify right side
    44,987x = 9,255,017,209
  5. Step 5: Solve for x
    x = 9,255,017,209/44,987
  6. Step 6: Final answer
    x = 205,726.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.