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Finding the Third Proportional to 72,466 and 157,802

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Solution

The third proportional to 72,466 and 157,802 is: 343,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,466 : 157,802 = 157,802 : x
  2. Step 2: Convert to fraction form
    72,466/157,802 = 157,802/x
  3. Step 3: Cross multiply
    72,466x = 157,802 × 157,802
  4. Step 4: Simplify right side
    72,466x = 24,901,471,204
  5. Step 5: Solve for x
    x = 24,901,471,204/72,466
  6. Step 6: Final answer
    x = 343,629.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.