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Finding the Third Proportional to 98,164.25 and 155,690.25

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Solution

The third proportional to 98,164.25 and 155,690.25 is: 246,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,164.25 : 155,690.25 = 155,690.25 : x
  2. Step 2: Convert to fraction form
    98,164.25/155,690.25 = 155,690.25/x
  3. Step 3: Cross multiply
    98,164.25x = 155,690.25 × 155,690.25
  4. Step 4: Simplify right side
    98,164.25x = 24,239,453,945.06
  5. Step 5: Solve for x
    x = 24,239,453,945.06/98,164.25
  6. Step 6: Final answer
    x = 246,927.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.