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Finding the Third Proportional to 75,232 and 156,769

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Solution

The third proportional to 75,232 and 156,769 is: 326,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,232 : 156,769 = 156,769 : x
  2. Step 2: Convert to fraction form
    75,232/156,769 = 156,769/x
  3. Step 3: Cross multiply
    75,232x = 156,769 × 156,769
  4. Step 4: Simplify right side
    75,232x = 24,576,519,361
  5. Step 5: Solve for x
    x = 24,576,519,361/75,232
  6. Step 6: Final answer
    x = 326,676.41

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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.