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Finding the Third Proportional to 97,691.70 and 146,127.48

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Solution

The third proportional to 97,691.70 and 146,127.48 is: 218,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,691.70 : 146,127.48 = 146,127.48 : x
  2. Step 2: Convert to fraction form
    97,691.70/146,127.48 = 146,127.48/x
  3. Step 3: Cross multiply
    97,691.70x = 146,127.48 × 146,127.48
  4. Step 4: Simplify right side
    97,691.70x = 21,353,240,548.14
  5. Step 5: Solve for x
    x = 21,353,240,548.14/97,691.70
  6. Step 6: Final answer
    x = 218,577.85

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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.