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Finding the Third Proportional to 42,652 and 88,040

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Solution

The third proportional to 42,652 and 88,040 is: 181,727.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652 : 88,040 = 88,040 : x
  2. Step 2: Convert to fraction form
    42,652/88,040 = 88,040/x
  3. Step 3: Cross multiply
    42,652x = 88,040 × 88,040
  4. Step 4: Simplify right side
    42,652x = 7,751,041,600
  5. Step 5: Solve for x
    x = 7,751,041,600/42,652
  6. Step 6: Final answer
    x = 181,727.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.