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Finding the Third Proportional to 83,234 and 121,736

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Solution

The third proportional to 83,234 and 121,736 is: 178,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,234 : 121,736 = 121,736 : x
  2. Step 2: Convert to fraction form
    83,234/121,736 = 121,736/x
  3. Step 3: Cross multiply
    83,234x = 121,736 × 121,736
  4. Step 4: Simplify right side
    83,234x = 14,819,653,696
  5. Step 5: Solve for x
    x = 14,819,653,696/83,234
  6. Step 6: Final answer
    x = 178,048.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.