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Finding the Third Proportional to 69,716 and 100,524

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Solution

The third proportional to 69,716 and 100,524 is: 144,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,716 : 100,524 = 100,524 : x
  2. Step 2: Convert to fraction form
    69,716/100,524 = 100,524/x
  3. Step 3: Cross multiply
    69,716x = 100,524 × 100,524
  4. Step 4: Simplify right side
    69,716x = 10,105,074,576
  5. Step 5: Solve for x
    x = 10,105,074,576/69,716
  6. Step 6: Final answer
    x = 144,946.28

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.