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Finding the Third Proportional to 62,423 and 134,823

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Solution

The third proportional to 62,423 and 134,823 is: 291,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,423 : 134,823 = 134,823 : x
  2. Step 2: Convert to fraction form
    62,423/134,823 = 134,823/x
  3. Step 3: Cross multiply
    62,423x = 134,823 × 134,823
  4. Step 4: Simplify right side
    62,423x = 18,177,241,329
  5. Step 5: Solve for x
    x = 18,177,241,329/62,423
  6. Step 6: Final answer
    x = 291,194.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.