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Finding the Third Proportional to 74,492 and 95,643

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Solution

The third proportional to 74,492 and 95,643 is: 122,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,492 : 95,643 = 95,643 : x
  2. Step 2: Convert to fraction form
    74,492/95,643 = 95,643/x
  3. Step 3: Cross multiply
    74,492x = 95,643 × 95,643
  4. Step 4: Simplify right side
    74,492x = 9,147,583,449
  5. Step 5: Solve for x
    x = 9,147,583,449/74,492
  6. Step 6: Final answer
    x = 122,799.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.