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Finding the Third Proportional to 42,146.25 and 88,188.38

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Solution

The third proportional to 42,146.25 and 88,188.38 is: 184,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,146.25 : 88,188.38 = 88,188.38 : x
  2. Step 2: Convert to fraction form
    42,146.25/88,188.38 = 88,188.38/x
  3. Step 3: Cross multiply
    42,146.25x = 88,188.38 × 88,188.38
  4. Step 4: Simplify right side
    42,146.25x = 7,777,189,485.14
  5. Step 5: Solve for x
    x = 7,777,189,485.14/42,146.25
  6. Step 6: Final answer
    x = 184,528.62

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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.