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Finding the Third Proportional to 70,151.06 and 149,065.31

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Solution

The third proportional to 70,151.06 and 149,065.31 is: 316,751.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151.06 : 149,065.31 = 149,065.31 : x
  2. Step 2: Convert to fraction form
    70,151.06/149,065.31 = 149,065.31/x
  3. Step 3: Cross multiply
    70,151.06x = 149,065.31 × 149,065.31
  4. Step 4: Simplify right side
    70,151.06x = 22,220,467,390.72
  5. Step 5: Solve for x
    x = 22,220,467,390.72/70,151.06
  6. Step 6: Final answer
    x = 316,751.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.