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Finding the Third Proportional to 74,369 and 163,561

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Solution

The third proportional to 74,369 and 163,561 is: 359,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,369 : 163,561 = 163,561 : x
  2. Step 2: Convert to fraction form
    74,369/163,561 = 163,561/x
  3. Step 3: Cross multiply
    74,369x = 163,561 × 163,561
  4. Step 4: Simplify right side
    74,369x = 26,752,200,721
  5. Step 5: Solve for x
    x = 26,752,200,721/74,369
  6. Step 6: Final answer
    x = 359,722.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.