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Finding the Third Proportional to 42,066 and 88,026

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Solution

The third proportional to 42,066 and 88,026 is: 184,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 88,026 = 88,026 : x
  2. Step 2: Convert to fraction form
    42,066/88,026 = 88,026/x
  3. Step 3: Cross multiply
    42,066x = 88,026 × 88,026
  4. Step 4: Simplify right side
    42,066x = 7,748,576,676
  5. Step 5: Solve for x
    x = 7,748,576,676/42,066
  6. Step 6: Final answer
    x = 184,200.46

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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.