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Finding the Third Proportional to 69,705 and 152,751

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Solution

The third proportional to 69,705 and 152,751 is: 334,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,705 : 152,751 = 152,751 : x
  2. Step 2: Convert to fraction form
    69,705/152,751 = 152,751/x
  3. Step 3: Cross multiply
    69,705x = 152,751 × 152,751
  4. Step 4: Simplify right side
    69,705x = 23,332,868,001
  5. Step 5: Solve for x
    x = 23,332,868,001/69,705
  6. Step 6: Final answer
    x = 334,737.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.