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Finding the Third Proportional to 69,417 and 152,092.69

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Solution

The third proportional to 69,417 and 152,092.69 is: 333,235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,417 : 152,092.69 = 152,092.69 : x
  2. Step 2: Convert to fraction form
    69,417/152,092.69 = 152,092.69/x
  3. Step 3: Cross multiply
    69,417x = 152,092.69 × 152,092.69
  4. Step 4: Simplify right side
    69,417x = 23,132,185,590.97
  5. Step 5: Solve for x
    x = 23,132,185,590.97/69,417
  6. Step 6: Final answer
    x = 333,235.17

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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.