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Finding the Third Proportional to 42,034 and 92,258

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Solution

The third proportional to 42,034 and 92,258 is: 202,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,034 : 92,258 = 92,258 : x
  2. Step 2: Convert to fraction form
    42,034/92,258 = 92,258/x
  3. Step 3: Cross multiply
    42,034x = 92,258 × 92,258
  4. Step 4: Simplify right side
    42,034x = 8,511,538,564
  5. Step 5: Solve for x
    x = 8,511,538,564/42,034
  6. Step 6: Final answer
    x = 202,491.76

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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.