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Finding the Third Proportional to 42,092 and 92,102

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Solution

The third proportional to 42,092 and 92,102 is: 201,529.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,092 : 92,102 = 92,102 : x
  2. Step 2: Convert to fraction form
    42,092/92,102 = 92,102/x
  3. Step 3: Cross multiply
    42,092x = 92,102 × 92,102
  4. Step 4: Simplify right side
    42,092x = 8,482,778,404
  5. Step 5: Solve for x
    x = 8,482,778,404/42,092
  6. Step 6: Final answer
    x = 201,529.47

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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.