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Finding the Third Proportional to 32,055 and 74,201.75

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Solution

The third proportional to 32,055 and 74,201.75 is: 171,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,055 : 74,201.75 = 74,201.75 : x
  2. Step 2: Convert to fraction form
    32,055/74,201.75 = 74,201.75/x
  3. Step 3: Cross multiply
    32,055x = 74,201.75 × 74,201.75
  4. Step 4: Simplify right side
    32,055x = 5,505,899,703.06
  5. Step 5: Solve for x
    x = 5,505,899,703.06/32,055
  6. Step 6: Final answer
    x = 171,764.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.