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Finding the Third Proportional to 105,210 and 158,907

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Solution

The third proportional to 105,210 and 158,907 is: 240,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,210 : 158,907 = 158,907 : x
  2. Step 2: Convert to fraction form
    105,210/158,907 = 158,907/x
  3. Step 3: Cross multiply
    105,210x = 158,907 × 158,907
  4. Step 4: Simplify right side
    105,210x = 25,251,434,649
  5. Step 5: Solve for x
    x = 25,251,434,649/105,210
  6. Step 6: Final answer
    x = 240,009.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.