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Finding the Third Proportional to 78,914.25 and 118,037.25

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Solution

The third proportional to 78,914.25 and 118,037.25 is: 176,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,914.25 : 118,037.25 = 118,037.25 : x
  2. Step 2: Convert to fraction form
    78,914.25/118,037.25 = 118,037.25/x
  3. Step 3: Cross multiply
    78,914.25x = 118,037.25 × 118,037.25
  4. Step 4: Simplify right side
    78,914.25x = 13,932,792,387.56
  5. Step 5: Solve for x
    x = 13,932,792,387.56/78,914.25
  6. Step 6: Final answer
    x = 176,556.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.