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Finding the Third Proportional to 72,976 and 156,304

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Solution

The third proportional to 72,976 and 156,304 is: 334,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,976 : 156,304 = 156,304 : x
  2. Step 2: Convert to fraction form
    72,976/156,304 = 156,304/x
  3. Step 3: Cross multiply
    72,976x = 156,304 × 156,304
  4. Step 4: Simplify right side
    72,976x = 24,430,940,416
  5. Step 5: Solve for x
    x = 24,430,940,416/72,976
  6. Step 6: Final answer
    x = 334,780.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.