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Finding the Third Proportional to 83,650 and 119,246

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Solution

The third proportional to 83,650 and 119,246 is: 169,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,650 : 119,246 = 119,246 : x
  2. Step 2: Convert to fraction form
    83,650/119,246 = 119,246/x
  3. Step 3: Cross multiply
    83,650x = 119,246 × 119,246
  4. Step 4: Simplify right side
    83,650x = 14,219,608,516
  5. Step 5: Solve for x
    x = 14,219,608,516/83,650
  6. Step 6: Final answer
    x = 169,989.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.