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Finding the Third Proportional to 83,733 and 119,373

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Solution

The third proportional to 83,733 and 119,373 is: 170,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,733 : 119,373 = 119,373 : x
  2. Step 2: Convert to fraction form
    83,733/119,373 = 119,373/x
  3. Step 3: Cross multiply
    83,733x = 119,373 × 119,373
  4. Step 4: Simplify right side
    83,733x = 14,249,913,129
  5. Step 5: Solve for x
    x = 14,249,913,129/83,733
  6. Step 6: Final answer
    x = 170,182.76

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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.