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Finding the Third Proportional to 81,223 and 121,835

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Solution

The third proportional to 81,223 and 121,835 is: 182,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,223 : 121,835 = 121,835 : x
  2. Step 2: Convert to fraction form
    81,223/121,835 = 121,835/x
  3. Step 3: Cross multiply
    81,223x = 121,835 × 121,835
  4. Step 4: Simplify right side
    81,223x = 14,843,767,225
  5. Step 5: Solve for x
    x = 14,843,767,225/81,223
  6. Step 6: Final answer
    x = 182,753.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.