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Finding the Third Proportional to 40,368 and 88,512

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Solution

The third proportional to 40,368 and 88,512 is: 194,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,368 : 88,512 = 88,512 : x
  2. Step 2: Convert to fraction form
    40,368/88,512 = 88,512/x
  3. Step 3: Cross multiply
    40,368x = 88,512 × 88,512
  4. Step 4: Simplify right side
    40,368x = 7,834,374,144
  5. Step 5: Solve for x
    x = 7,834,374,144/40,368
  6. Step 6: Final answer
    x = 194,073.87

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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.