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Finding the Third Proportional to 97,869.75 and 146,759.25

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Solution

The third proportional to 97,869.75 and 146,759.25 is: 220,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,869.75 : 146,759.25 = 146,759.25 : x
  2. Step 2: Convert to fraction form
    97,869.75/146,759.25 = 146,759.25/x
  3. Step 3: Cross multiply
    97,869.75x = 146,759.25 × 146,759.25
  4. Step 4: Simplify right side
    97,869.75x = 21,538,277,460.56
  5. Step 5: Solve for x
    x = 21,538,277,460.56/97,869.75
  6. Step 6: Final answer
    x = 220,070.83

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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.