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Finding the Third Proportional to 73,770.19 and 158,058.56

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Solution

The third proportional to 73,770.19 and 158,058.56 is: 338,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,770.19 : 158,058.56 = 158,058.56 : x
  2. Step 2: Convert to fraction form
    73,770.19/158,058.56 = 158,058.56/x
  3. Step 3: Cross multiply
    73,770.19x = 158,058.56 × 158,058.56
  4. Step 4: Simplify right side
    73,770.19x = 24,982,509,179.57
  5. Step 5: Solve for x
    x = 24,982,509,179.57/73,770.19
  6. Step 6: Final answer
    x = 338,653.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.