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Finding the Third Proportional to 75,261 and 156,749

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Solution

The third proportional to 75,261 and 156,749 is: 326,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,261 : 156,749 = 156,749 : x
  2. Step 2: Convert to fraction form
    75,261/156,749 = 156,749/x
  3. Step 3: Cross multiply
    75,261x = 156,749 × 156,749
  4. Step 4: Simplify right side
    75,261x = 24,570,249,001
  5. Step 5: Solve for x
    x = 24,570,249,001/75,261
  6. Step 6: Final answer
    x = 326,467.21

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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.