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Finding the Third Proportional to 98,208 and 151,036

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Solution

The third proportional to 98,208 and 151,036 is: 232,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,208 : 151,036 = 151,036 : x
  2. Step 2: Convert to fraction form
    98,208/151,036 = 151,036/x
  3. Step 3: Cross multiply
    98,208x = 151,036 × 151,036
  4. Step 4: Simplify right side
    98,208x = 22,811,873,296
  5. Step 5: Solve for x
    x = 22,811,873,296/98,208
  6. Step 6: Final answer
    x = 232,281.21

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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.