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Finding the Third Proportional to 40,373 and 88,522

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Solution

The third proportional to 40,373 and 88,522 is: 194,093.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,373 : 88,522 = 88,522 : x
  2. Step 2: Convert to fraction form
    40,373/88,522 = 88,522/x
  3. Step 3: Cross multiply
    40,373x = 88,522 × 88,522
  4. Step 4: Simplify right side
    40,373x = 7,836,144,484
  5. Step 5: Solve for x
    x = 7,836,144,484/40,373
  6. Step 6: Final answer
    x = 194,093.69

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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.