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Finding the Third Proportional to 75,209 and 156,722

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Solution

The third proportional to 75,209 and 156,722 is: 326,580.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,209 : 156,722 = 156,722 : x
  2. Step 2: Convert to fraction form
    75,209/156,722 = 156,722/x
  3. Step 3: Cross multiply
    75,209x = 156,722 × 156,722
  4. Step 4: Simplify right side
    75,209x = 24,561,785,284
  5. Step 5: Solve for x
    x = 24,561,785,284/75,209
  6. Step 6: Final answer
    x = 326,580.40

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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.