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Finding the Third Proportional to 78,894 and 171,612

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Solution

The third proportional to 78,894 and 171,612 is: 373,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,894 : 171,612 = 171,612 : x
  2. Step 2: Convert to fraction form
    78,894/171,612 = 171,612/x
  3. Step 3: Cross multiply
    78,894x = 171,612 × 171,612
  4. Step 4: Simplify right side
    78,894x = 29,450,678,544
  5. Step 5: Solve for x
    x = 29,450,678,544/78,894
  6. Step 6: Final answer
    x = 373,294.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.