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Finding the Third Proportional to 40,243.75 and 87,492

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Solution

The third proportional to 40,243.75 and 87,492 is: 190,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,243.75 : 87,492 = 87,492 : x
  2. Step 2: Convert to fraction form
    40,243.75/87,492 = 87,492/x
  3. Step 3: Cross multiply
    40,243.75x = 87,492 × 87,492
  4. Step 4: Simplify right side
    40,243.75x = 7,654,850,064
  5. Step 5: Solve for x
    x = 7,654,850,064/40,243.75
  6. Step 6: Final answer
    x = 190,212.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.