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Finding the Third Proportional to 78,996.75 and 169,065.75

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Solution

The third proportional to 78,996.75 and 169,065.75 is: 361,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,996.75 : 169,065.75 = 169,065.75 : x
  2. Step 2: Convert to fraction form
    78,996.75/169,065.75 = 169,065.75/x
  3. Step 3: Cross multiply
    78,996.75x = 169,065.75 × 169,065.75
  4. Step 4: Simplify right side
    78,996.75x = 28,583,227,823.06
  5. Step 5: Solve for x
    x = 28,583,227,823.06/78,996.75
  6. Step 6: Final answer
    x = 361,827.90

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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.