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Finding the Third Proportional to 69,101 and 106,368

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Solution

The third proportional to 69,101 and 106,368 is: 163,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,101 : 106,368 = 106,368 : x
  2. Step 2: Convert to fraction form
    69,101/106,368 = 106,368/x
  3. Step 3: Cross multiply
    69,101x = 106,368 × 106,368
  4. Step 4: Simplify right side
    69,101x = 11,314,151,424
  5. Step 5: Solve for x
    x = 11,314,151,424/69,101
  6. Step 6: Final answer
    x = 163,733.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.