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Finding the Third Proportional to 83,323 and 119,071

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Solution

The third proportional to 83,323 and 119,071 is: 170,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323 : 119,071 = 119,071 : x
  2. Step 2: Convert to fraction form
    83,323/119,071 = 119,071/x
  3. Step 3: Cross multiply
    83,323x = 119,071 × 119,071
  4. Step 4: Simplify right side
    83,323x = 14,177,903,041
  5. Step 5: Solve for x
    x = 14,177,903,041/83,323
  6. Step 6: Final answer
    x = 170,155.94

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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.