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Finding the Third Proportional to 84,952 and 134,961

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Solution

The third proportional to 84,952 and 134,961 is: 214,408.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,952 : 134,961 = 134,961 : x
  2. Step 2: Convert to fraction form
    84,952/134,961 = 134,961/x
  3. Step 3: Cross multiply
    84,952x = 134,961 × 134,961
  4. Step 4: Simplify right side
    84,952x = 18,214,471,521
  5. Step 5: Solve for x
    x = 18,214,471,521/84,952
  6. Step 6: Final answer
    x = 214,408.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.