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Finding the Third Proportional to 70,912.13 and 151,210.13

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Solution

The third proportional to 70,912.13 and 151,210.13 is: 322,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,912.13 : 151,210.13 = 151,210.13 : x
  2. Step 2: Convert to fraction form
    70,912.13/151,210.13 = 151,210.13/x
  3. Step 3: Cross multiply
    70,912.13x = 151,210.13 × 151,210.13
  4. Step 4: Simplify right side
    70,912.13x = 22,864,501,902.52
  5. Step 5: Solve for x
    x = 22,864,501,902.52/70,912.13
  6. Step 6: Final answer
    x = 322,434.31

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Why These Related Problems?

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