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Finding the Third Proportional to 76,668.75 and 165,001.50

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Solution

The third proportional to 76,668.75 and 165,001.50 is: 355,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668.75 : 165,001.50 = 165,001.50 : x
  2. Step 2: Convert to fraction form
    76,668.75/165,001.50 = 165,001.50/x
  3. Step 3: Cross multiply
    76,668.75x = 165,001.50 × 165,001.50
  4. Step 4: Simplify right side
    76,668.75x = 27,225,495,002.25
  5. Step 5: Solve for x
    x = 27,225,495,002.25/76,668.75
  6. Step 6: Final answer
    x = 355,105.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.