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Finding the Third Proportional to 69,569 and 93,199

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Solution

The third proportional to 69,569 and 93,199 is: 124,855.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,569 : 93,199 = 93,199 : x
  2. Step 2: Convert to fraction form
    69,569/93,199 = 93,199/x
  3. Step 3: Cross multiply
    69,569x = 93,199 × 93,199
  4. Step 4: Simplify right side
    69,569x = 8,686,053,601
  5. Step 5: Solve for x
    x = 8,686,053,601/69,569
  6. Step 6: Final answer
    x = 124,855.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.