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Finding the Third Proportional to 65,345 and 96,103

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Solution

The third proportional to 65,345 and 96,103 is: 141,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,345 : 96,103 = 96,103 : x
  2. Step 2: Convert to fraction form
    65,345/96,103 = 96,103/x
  3. Step 3: Cross multiply
    65,345x = 96,103 × 96,103
  4. Step 4: Simplify right side
    65,345x = 9,235,786,609
  5. Step 5: Solve for x
    x = 9,235,786,609/65,345
  6. Step 6: Final answer
    x = 141,338.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.