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Finding the Third Proportional to 73,458 and 159,360

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Solution

The third proportional to 73,458 and 159,360 is: 345,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,458 : 159,360 = 159,360 : x
  2. Step 2: Convert to fraction form
    73,458/159,360 = 159,360/x
  3. Step 3: Cross multiply
    73,458x = 159,360 × 159,360
  4. Step 4: Simplify right side
    73,458x = 25,395,609,600
  5. Step 5: Solve for x
    x = 25,395,609,600/73,458
  6. Step 6: Final answer
    x = 345,716.05

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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.