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Finding the Third Proportional to 59,822 and 125,838

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Solution

The third proportional to 59,822 and 125,838 is: 264,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,822 : 125,838 = 125,838 : x
  2. Step 2: Convert to fraction form
    59,822/125,838 = 125,838/x
  3. Step 3: Cross multiply
    59,822x = 125,838 × 125,838
  4. Step 4: Simplify right side
    59,822x = 15,835,202,244
  5. Step 5: Solve for x
    x = 15,835,202,244/59,822
  6. Step 6: Final answer
    x = 264,705.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.