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Finding the Third Proportional to 61,942 and 91,454

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Solution

The third proportional to 61,942 and 91,454 is: 135,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,942 : 91,454 = 91,454 : x
  2. Step 2: Convert to fraction form
    61,942/91,454 = 91,454/x
  3. Step 3: Cross multiply
    61,942x = 91,454 × 91,454
  4. Step 4: Simplify right side
    61,942x = 8,363,834,116
  5. Step 5: Solve for x
    x = 8,363,834,116/61,942
  6. Step 6: Final answer
    x = 135,026.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.