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Finding the Third Proportional to 61,941 and 91,453

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Solution

The third proportional to 61,941 and 91,453 is: 135,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,941 : 91,453 = 91,453 : x
  2. Step 2: Convert to fraction form
    61,941/91,453 = 91,453/x
  3. Step 3: Cross multiply
    61,941x = 91,453 × 91,453
  4. Step 4: Simplify right side
    61,941x = 8,363,651,209
  5. Step 5: Solve for x
    x = 8,363,651,209/61,941
  6. Step 6: Final answer
    x = 135,026.09

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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.