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Finding the Third Proportional to 73,650 and 158,199.75

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Solution

The third proportional to 73,650 and 158,199.75 is: 339,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,650 : 158,199.75 = 158,199.75 : x
  2. Step 2: Convert to fraction form
    73,650/158,199.75 = 158,199.75/x
  3. Step 3: Cross multiply
    73,650x = 158,199.75 × 158,199.75
  4. Step 4: Simplify right side
    73,650x = 25,027,160,900.06
  5. Step 5: Solve for x
    x = 25,027,160,900.06/73,650
  6. Step 6: Final answer
    x = 339,812.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.