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Finding the Third Proportional to 84,736 and 112,440

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Solution

The third proportional to 84,736 and 112,440 is: 149,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,736 : 112,440 = 112,440 : x
  2. Step 2: Convert to fraction form
    84,736/112,440 = 112,440/x
  3. Step 3: Cross multiply
    84,736x = 112,440 × 112,440
  4. Step 4: Simplify right side
    84,736x = 12,642,753,600
  5. Step 5: Solve for x
    x = 12,642,753,600/84,736
  6. Step 6: Final answer
    x = 149,201.68

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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.