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Finding the Third Proportional to 70,908 and 151,308

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Solution

The third proportional to 70,908 and 151,308 is: 322,870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,908 : 151,308 = 151,308 : x
  2. Step 2: Convert to fraction form
    70,908/151,308 = 151,308/x
  3. Step 3: Cross multiply
    70,908x = 151,308 × 151,308
  4. Step 4: Simplify right side
    70,908x = 22,894,110,864
  5. Step 5: Solve for x
    x = 22,894,110,864/70,908
  6. Step 6: Final answer
    x = 322,870.63

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.