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Finding the Third Proportional to 40,294 and 87,229

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Solution

The third proportional to 40,294 and 87,229 is: 188,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,294 : 87,229 = 87,229 : x
  2. Step 2: Convert to fraction form
    40,294/87,229 = 87,229/x
  3. Step 3: Cross multiply
    40,294x = 87,229 × 87,229
  4. Step 4: Simplify right side
    40,294x = 7,608,898,441
  5. Step 5: Solve for x
    x = 7,608,898,441/40,294
  6. Step 6: Final answer
    x = 188,834.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.