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Finding the Third Proportional to 73,584 and 158,933

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Solution

The third proportional to 73,584 and 158,933 is: 343,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,584 : 158,933 = 158,933 : x
  2. Step 2: Convert to fraction form
    73,584/158,933 = 158,933/x
  3. Step 3: Cross multiply
    73,584x = 158,933 × 158,933
  4. Step 4: Simplify right side
    73,584x = 25,259,698,489
  5. Step 5: Solve for x
    x = 25,259,698,489/73,584
  6. Step 6: Final answer
    x = 343,277.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.