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Finding the Third Proportional to 75,246 and 156,721

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Solution

The third proportional to 75,246 and 156,721 is: 326,415.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,246 : 156,721 = 156,721 : x
  2. Step 2: Convert to fraction form
    75,246/156,721 = 156,721/x
  3. Step 3: Cross multiply
    75,246x = 156,721 × 156,721
  4. Step 4: Simplify right side
    75,246x = 24,561,471,841
  5. Step 5: Solve for x
    x = 24,561,471,841/75,246
  6. Step 6: Final answer
    x = 326,415.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.