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Finding the Third Proportional to 42,099 and 92,127

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Solution

The third proportional to 42,099 and 92,127 is: 201,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099 : 92,127 = 92,127 : x
  2. Step 2: Convert to fraction form
    42,099/92,127 = 92,127/x
  3. Step 3: Cross multiply
    42,099x = 92,127 × 92,127
  4. Step 4: Simplify right side
    42,099x = 8,487,384,129
  5. Step 5: Solve for x
    x = 8,487,384,129/42,099
  6. Step 6: Final answer
    x = 201,605.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.