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Finding the Third Proportional to 79,342 and 171,746

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Solution

The third proportional to 79,342 and 171,746 is: 371,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,342 : 171,746 = 171,746 : x
  2. Step 2: Convert to fraction form
    79,342/171,746 = 171,746/x
  3. Step 3: Cross multiply
    79,342x = 171,746 × 171,746
  4. Step 4: Simplify right side
    79,342x = 29,496,688,516
  5. Step 5: Solve for x
    x = 29,496,688,516/79,342
  6. Step 6: Final answer
    x = 371,766.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.