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Finding the Third Proportional to 44,128 and 96,031

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Solution

The third proportional to 44,128 and 96,031 is: 208,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,128 : 96,031 = 96,031 : x
  2. Step 2: Convert to fraction form
    44,128/96,031 = 96,031/x
  3. Step 3: Cross multiply
    44,128x = 96,031 × 96,031
  4. Step 4: Simplify right side
    44,128x = 9,221,952,961
  5. Step 5: Solve for x
    x = 9,221,952,961/44,128
  6. Step 6: Final answer
    x = 208,981.89

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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.