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Finding the Third Proportional to 69,708 and 152,472

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Solution

The third proportional to 69,708 and 152,472 is: 333,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708 : 152,472 = 152,472 : x
  2. Step 2: Convert to fraction form
    69,708/152,472 = 152,472/x
  3. Step 3: Cross multiply
    69,708x = 152,472 × 152,472
  4. Step 4: Simplify right side
    69,708x = 23,247,710,784
  5. Step 5: Solve for x
    x = 23,247,710,784/69,708
  6. Step 6: Final answer
    x = 333,501.33

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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.