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Finding the Third Proportional to 62,158 and 96,423

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Solution

The third proportional to 62,158 and 96,423 is: 149,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,158 : 96,423 = 96,423 : x
  2. Step 2: Convert to fraction form
    62,158/96,423 = 96,423/x
  3. Step 3: Cross multiply
    62,158x = 96,423 × 96,423
  4. Step 4: Simplify right side
    62,158x = 9,297,394,929
  5. Step 5: Solve for x
    x = 9,297,394,929/62,158
  6. Step 6: Final answer
    x = 149,576.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.