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Finding the Third Proportional to 106,502 and 171,578

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Solution

The third proportional to 106,502 and 171,578 is: 276,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,502 : 171,578 = 171,578 : x
  2. Step 2: Convert to fraction form
    106,502/171,578 = 171,578/x
  3. Step 3: Cross multiply
    106,502x = 171,578 × 171,578
  4. Step 4: Simplify right side
    106,502x = 29,439,010,084
  5. Step 5: Solve for x
    x = 29,439,010,084/106,502
  6. Step 6: Final answer
    x = 276,417.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.