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Finding the Third Proportional to 84,024 and 112,116

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Solution

The third proportional to 84,024 and 112,116 is: 149,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,024 : 112,116 = 112,116 : x
  2. Step 2: Convert to fraction form
    84,024/112,116 = 112,116/x
  3. Step 3: Cross multiply
    84,024x = 112,116 × 112,116
  4. Step 4: Simplify right side
    84,024x = 12,569,997,456
  5. Step 5: Solve for x
    x = 12,569,997,456/84,024
  6. Step 6: Final answer
    x = 149,600.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.