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Finding the Third Proportional to 69,376 and 103,296

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Solution

The third proportional to 69,376 and 103,296 is: 153,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376 : 103,296 = 103,296 : x
  2. Step 2: Convert to fraction form
    69,376/103,296 = 103,296/x
  3. Step 3: Cross multiply
    69,376x = 103,296 × 103,296
  4. Step 4: Simplify right side
    69,376x = 10,670,063,616
  5. Step 5: Solve for x
    x = 10,670,063,616/69,376
  6. Step 6: Final answer
    x = 153,800.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.