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Finding the Third Proportional to 78,828 and 171,264

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Solution

The third proportional to 78,828 and 171,264 is: 372,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,828 : 171,264 = 171,264 : x
  2. Step 2: Convert to fraction form
    78,828/171,264 = 171,264/x
  3. Step 3: Cross multiply
    78,828x = 171,264 × 171,264
  4. Step 4: Simplify right side
    78,828x = 29,331,357,696
  5. Step 5: Solve for x
    x = 29,331,357,696/78,828
  6. Step 6: Final answer
    x = 372,093.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.