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Finding the Third Proportional to 70,106 and 150,904

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Solution

The third proportional to 70,106 and 150,904 is: 324,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106 : 150,904 = 150,904 : x
  2. Step 2: Convert to fraction form
    70,106/150,904 = 150,904/x
  3. Step 3: Cross multiply
    70,106x = 150,904 × 150,904
  4. Step 4: Simplify right side
    70,106x = 22,772,017,216
  5. Step 5: Solve for x
    x = 22,772,017,216/70,106
  6. Step 6: Final answer
    x = 324,822.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.