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Finding the Third Proportional to 78,803.25 and 118,286.25

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Solution

The third proportional to 78,803.25 and 118,286.25 is: 177,551.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,803.25 : 118,286.25 = 118,286.25 : x
  2. Step 2: Convert to fraction form
    78,803.25/118,286.25 = 118,286.25/x
  3. Step 3: Cross multiply
    78,803.25x = 118,286.25 × 118,286.25
  4. Step 4: Simplify right side
    78,803.25x = 13,991,636,939.06
  5. Step 5: Solve for x
    x = 13,991,636,939.06/78,803.25
  6. Step 6: Final answer
    x = 177,551.52

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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.