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Finding the Third Proportional to 40,588 and 87,224

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Solution

The third proportional to 40,588 and 87,224 is: 187,445.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,588 : 87,224 = 87,224 : x
  2. Step 2: Convert to fraction form
    40,588/87,224 = 87,224/x
  3. Step 3: Cross multiply
    40,588x = 87,224 × 87,224
  4. Step 4: Simplify right side
    40,588x = 7,608,026,176
  5. Step 5: Solve for x
    x = 7,608,026,176/40,588
  6. Step 6: Final answer
    x = 187,445.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.