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Finding the Third Proportional to 90,484 and 125,031

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Solution

The third proportional to 90,484 and 125,031 is: 172,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,484 : 125,031 = 125,031 : x
  2. Step 2: Convert to fraction form
    90,484/125,031 = 125,031/x
  3. Step 3: Cross multiply
    90,484x = 125,031 × 125,031
  4. Step 4: Simplify right side
    90,484x = 15,632,750,961
  5. Step 5: Solve for x
    x = 15,632,750,961/90,484
  6. Step 6: Final answer
    x = 172,768.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.