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Finding the Third Proportional to 78,392.50 and 172,392

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Solution

The third proportional to 78,392.50 and 172,392 is: 379,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.50 : 172,392 = 172,392 : x
  2. Step 2: Convert to fraction form
    78,392.50/172,392 = 172,392/x
  3. Step 3: Cross multiply
    78,392.50x = 172,392 × 172,392
  4. Step 4: Simplify right side
    78,392.50x = 29,719,001,664
  5. Step 5: Solve for x
    x = 29,719,001,664/78,392.50
  6. Step 6: Final answer
    x = 379,105.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.