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Finding the Third Proportional to 69,102 and 106,706

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Solution

The third proportional to 69,102 and 106,706 is: 164,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102 : 106,706 = 106,706 : x
  2. Step 2: Convert to fraction form
    69,102/106,706 = 106,706/x
  3. Step 3: Cross multiply
    69,102x = 106,706 × 106,706
  4. Step 4: Simplify right side
    69,102x = 11,386,170,436
  5. Step 5: Solve for x
    x = 11,386,170,436/69,102
  6. Step 6: Final answer
    x = 164,773.38

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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.