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Finding the Third Proportional to 71,633 and 163,040

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Solution

The third proportional to 71,633 and 163,040 is: 371,086.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633 : 163,040 = 163,040 : x
  2. Step 2: Convert to fraction form
    71,633/163,040 = 163,040/x
  3. Step 3: Cross multiply
    71,633x = 163,040 × 163,040
  4. Step 4: Simplify right side
    71,633x = 26,582,041,600
  5. Step 5: Solve for x
    x = 26,582,041,600/71,633
  6. Step 6: Final answer
    x = 371,086.53

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.