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Finding the Third Proportional to 76,281.75 and 165,705.75

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Solution

The third proportional to 76,281.75 and 165,705.75 is: 359,960.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,281.75 : 165,705.75 = 165,705.75 : x
  2. Step 2: Convert to fraction form
    76,281.75/165,705.75 = 165,705.75/x
  3. Step 3: Cross multiply
    76,281.75x = 165,705.75 × 165,705.75
  4. Step 4: Simplify right side
    76,281.75x = 27,458,395,583.06
  5. Step 5: Solve for x
    x = 27,458,395,583.06/76,281.75
  6. Step 6: Final answer
    x = 359,960.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.