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Finding the Third Proportional to 46,942 and 97,781

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Solution

The third proportional to 46,942 and 97,781 is: 203,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,942 : 97,781 = 97,781 : x
  2. Step 2: Convert to fraction form
    46,942/97,781 = 97,781/x
  3. Step 3: Cross multiply
    46,942x = 97,781 × 97,781
  4. Step 4: Simplify right side
    46,942x = 9,561,123,961
  5. Step 5: Solve for x
    x = 9,561,123,961/46,942
  6. Step 6: Final answer
    x = 203,679.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.