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Finding the Third Proportional to 62,376 and 91,647

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Solution

The third proportional to 62,376 and 91,647 is: 134,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,376 : 91,647 = 91,647 : x
  2. Step 2: Convert to fraction form
    62,376/91,647 = 91,647/x
  3. Step 3: Cross multiply
    62,376x = 91,647 × 91,647
  4. Step 4: Simplify right side
    62,376x = 8,399,172,609
  5. Step 5: Solve for x
    x = 8,399,172,609/62,376
  6. Step 6: Final answer
    x = 134,653.92

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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.