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Finding the Third Proportional to 83,716 and 119,324

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Solution

The third proportional to 83,716 and 119,324 is: 170,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716 : 119,324 = 119,324 : x
  2. Step 2: Convert to fraction form
    83,716/119,324 = 119,324/x
  3. Step 3: Cross multiply
    83,716x = 119,324 × 119,324
  4. Step 4: Simplify right side
    83,716x = 14,238,216,976
  5. Step 5: Solve for x
    x = 14,238,216,976/83,716
  6. Step 6: Final answer
    x = 170,077.61

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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.