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Finding the Third Proportional to 98,206 and 151,144

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Solution

The third proportional to 98,206 and 151,144 is: 232,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,206 : 151,144 = 151,144 : x
  2. Step 2: Convert to fraction form
    98,206/151,144 = 151,144/x
  3. Step 3: Cross multiply
    98,206x = 151,144 × 151,144
  4. Step 4: Simplify right side
    98,206x = 22,844,508,736
  5. Step 5: Solve for x
    x = 22,844,508,736/98,206
  6. Step 6: Final answer
    x = 232,618.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.