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Finding the Third Proportional to 78,798 and 168,669

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Solution

The third proportional to 78,798 and 168,669 is: 361,040.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,798 : 168,669 = 168,669 : x
  2. Step 2: Convert to fraction form
    78,798/168,669 = 168,669/x
  3. Step 3: Cross multiply
    78,798x = 168,669 × 168,669
  4. Step 4: Simplify right side
    78,798x = 28,449,231,561
  5. Step 5: Solve for x
    x = 28,449,231,561/78,798
  6. Step 6: Final answer
    x = 361,040.02

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