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Finding the Third Proportional to 78,795 and 168,663

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Solution

The third proportional to 78,795 and 168,663 is: 361,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,795 : 168,663 = 168,663 : x
  2. Step 2: Convert to fraction form
    78,795/168,663 = 168,663/x
  3. Step 3: Cross multiply
    78,795x = 168,663 × 168,663
  4. Step 4: Simplify right side
    78,795x = 28,447,207,569
  5. Step 5: Solve for x
    x = 28,447,207,569/78,795
  6. Step 6: Final answer
    x = 361,028.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.