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Finding the Third Proportional to 74,626 and 161,282

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Solution

The third proportional to 74,626 and 161,282 is: 348,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,626 : 161,282 = 161,282 : x
  2. Step 2: Convert to fraction form
    74,626/161,282 = 161,282/x
  3. Step 3: Cross multiply
    74,626x = 161,282 × 161,282
  4. Step 4: Simplify right side
    74,626x = 26,011,883,524
  5. Step 5: Solve for x
    x = 26,011,883,524/74,626
  6. Step 6: Final answer
    x = 348,563.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.