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Finding the Third Proportional to 107,179 and 157,671

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Solution

The third proportional to 107,179 and 157,671 is: 231,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,179 : 157,671 = 157,671 : x
  2. Step 2: Convert to fraction form
    107,179/157,671 = 157,671/x
  3. Step 3: Cross multiply
    107,179x = 157,671 × 157,671
  4. Step 4: Simplify right side
    107,179x = 24,860,144,241
  5. Step 5: Solve for x
    x = 24,860,144,241/107,179
  6. Step 6: Final answer
    x = 231,949.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.