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Finding the Third Proportional to 104,901.33 and 158,227.80

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Solution

The third proportional to 104,901.33 and 158,227.80 is: 238,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,901.33 : 158,227.80 = 158,227.80 : x
  2. Step 2: Convert to fraction form
    104,901.33/158,227.80 = 158,227.80/x
  3. Step 3: Cross multiply
    104,901.33x = 158,227.80 × 158,227.80
  4. Step 4: Simplify right side
    104,901.33x = 25,036,038,176.23
  5. Step 5: Solve for x
    x = 25,036,038,176.23/104,901.33
  6. Step 6: Final answer
    x = 238,662.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.