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Finding the Third Proportional to 102,454.25 and 158,225.38

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Solution

The third proportional to 102,454.25 and 158,225.38 is: 244,355.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454.25 : 158,225.38 = 158,225.38 : x
  2. Step 2: Convert to fraction form
    102,454.25/158,225.38 = 158,225.38/x
  3. Step 3: Cross multiply
    102,454.25x = 158,225.38 × 158,225.38
  4. Step 4: Simplify right side
    102,454.25x = 25,035,269,293.89
  5. Step 5: Solve for x
    x = 25,035,269,293.89/102,454.25
  6. Step 6: Final answer
    x = 244,355.60

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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.