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Finding the Third Proportional to 42,084 and 88,062

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Solution

The third proportional to 42,084 and 88,062 is: 184,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,084 : 88,062 = 88,062 : x
  2. Step 2: Convert to fraction form
    42,084/88,062 = 88,062/x
  3. Step 3: Cross multiply
    42,084x = 88,062 × 88,062
  4. Step 4: Simplify right side
    42,084x = 7,754,915,844
  5. Step 5: Solve for x
    x = 7,754,915,844/42,084
  6. Step 6: Final answer
    x = 184,272.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.