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Finding the Third Proportional to 75,768.75 and 164,801.25

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Solution

The third proportional to 75,768.75 and 164,801.25 is: 358,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768.75 : 164,801.25 = 164,801.25 : x
  2. Step 2: Convert to fraction form
    75,768.75/164,801.25 = 164,801.25/x
  3. Step 3: Cross multiply
    75,768.75x = 164,801.25 × 164,801.25
  4. Step 4: Simplify right side
    75,768.75x = 27,159,452,001.56
  5. Step 5: Solve for x
    x = 27,159,452,001.56/75,768.75
  6. Step 6: Final answer
    x = 358,451.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.