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Finding the Third Proportional to 69,450 and 101,706

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Solution

The third proportional to 69,450 and 101,706 is: 148,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,450 : 101,706 = 101,706 : x
  2. Step 2: Convert to fraction form
    69,450/101,706 = 101,706/x
  3. Step 3: Cross multiply
    69,450x = 101,706 × 101,706
  4. Step 4: Simplify right side
    69,450x = 10,344,110,436
  5. Step 5: Solve for x
    x = 10,344,110,436/69,450
  6. Step 6: Final answer
    x = 148,943.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.