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Finding the Third Proportional to 40,378 and 88,452

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Solution

The third proportional to 40,378 and 88,452 is: 193,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378 : 88,452 = 88,452 : x
  2. Step 2: Convert to fraction form
    40,378/88,452 = 88,452/x
  3. Step 3: Cross multiply
    40,378x = 88,452 × 88,452
  4. Step 4: Simplify right side
    40,378x = 7,823,756,304
  5. Step 5: Solve for x
    x = 7,823,756,304/40,378
  6. Step 6: Final answer
    x = 193,762.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.