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Finding the Third Proportional to 92,001 and 137,028

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Solution

The third proportional to 92,001 and 137,028 is: 204,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,001 : 137,028 = 137,028 : x
  2. Step 2: Convert to fraction form
    92,001/137,028 = 137,028/x
  3. Step 3: Cross multiply
    92,001x = 137,028 × 137,028
  4. Step 4: Simplify right side
    92,001x = 18,776,672,784
  5. Step 5: Solve for x
    x = 18,776,672,784/92,001
  6. Step 6: Final answer
    x = 204,092.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.