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Finding the Third Proportional to 69,276 and 108,526

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Solution

The third proportional to 69,276 and 108,526 is: 170,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 108,526 = 108,526 : x
  2. Step 2: Convert to fraction form
    69,276/108,526 = 108,526/x
  3. Step 3: Cross multiply
    69,276x = 108,526 × 108,526
  4. Step 4: Simplify right side
    69,276x = 11,777,892,676
  5. Step 5: Solve for x
    x = 11,777,892,676/69,276
  6. Step 6: Final answer
    x = 170,014.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.