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Finding the Third Proportional to 72,984 and 160,212

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Solution

The third proportional to 72,984 and 160,212 is: 351,691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,984 : 160,212 = 160,212 : x
  2. Step 2: Convert to fraction form
    72,984/160,212 = 160,212/x
  3. Step 3: Cross multiply
    72,984x = 160,212 × 160,212
  4. Step 4: Simplify right side
    72,984x = 25,667,884,944
  5. Step 5: Solve for x
    x = 25,667,884,944/72,984
  6. Step 6: Final answer
    x = 351,691.95

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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.