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Finding the Third Proportional to 73,209 and 158,895

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Solution

The third proportional to 73,209 and 158,895 is: 344,870.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,209 : 158,895 = 158,895 : x
  2. Step 2: Convert to fraction form
    73,209/158,895 = 158,895/x
  3. Step 3: Cross multiply
    73,209x = 158,895 × 158,895
  4. Step 4: Simplify right side
    73,209x = 25,247,621,025
  5. Step 5: Solve for x
    x = 25,247,621,025/73,209
  6. Step 6: Final answer
    x = 344,870.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.