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Finding the Third Proportional to 69,297 and 103,791

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Solution

The third proportional to 69,297 and 103,791 is: 155,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,297 : 103,791 = 103,791 : x
  2. Step 2: Convert to fraction form
    69,297/103,791 = 103,791/x
  3. Step 3: Cross multiply
    69,297x = 103,791 × 103,791
  4. Step 4: Simplify right side
    69,297x = 10,772,571,681
  5. Step 5: Solve for x
    x = 10,772,571,681/69,297
  6. Step 6: Final answer
    x = 155,455.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.