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Finding the Third Proportional to 83,000 and 119,316

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Solution

The third proportional to 83,000 and 119,316 is: 171,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,000 : 119,316 = 119,316 : x
  2. Step 2: Convert to fraction form
    83,000/119,316 = 119,316/x
  3. Step 3: Cross multiply
    83,000x = 119,316 × 119,316
  4. Step 4: Simplify right side
    83,000x = 14,236,307,856
  5. Step 5: Solve for x
    x = 14,236,307,856/83,000
  6. Step 6: Final answer
    x = 171,521.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.