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Finding the Third Proportional to 65,569.50 and 140,691.94

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Solution

The third proportional to 65,569.50 and 140,691.94 is: 301,881.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,569.50 : 140,691.94 = 140,691.94 : x
  2. Step 2: Convert to fraction form
    65,569.50/140,691.94 = 140,691.94/x
  3. Step 3: Cross multiply
    65,569.50x = 140,691.94 × 140,691.94
  4. Step 4: Simplify right side
    65,569.50x = 19,794,221,277.50
  5. Step 5: Solve for x
    x = 19,794,221,277.50/65,569.50
  6. Step 6: Final answer
    x = 301,881.53

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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.