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Finding the Third Proportional to 41,525 and 97,486

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Solution

The third proportional to 41,525 and 97,486 is: 228,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,525 : 97,486 = 97,486 : x
  2. Step 2: Convert to fraction form
    41,525/97,486 = 97,486/x
  3. Step 3: Cross multiply
    41,525x = 97,486 × 97,486
  4. Step 4: Simplify right side
    41,525x = 9,503,520,196
  5. Step 5: Solve for x
    x = 9,503,520,196/41,525
  6. Step 6: Final answer
    x = 228,862.62

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.