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Finding the Third Proportional to 83,313 and 122,013

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Solution

The third proportional to 83,313 and 122,013 is: 178,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313 : 122,013 = 122,013 : x
  2. Step 2: Convert to fraction form
    83,313/122,013 = 122,013/x
  3. Step 3: Cross multiply
    83,313x = 122,013 × 122,013
  4. Step 4: Simplify right side
    83,313x = 14,887,172,169
  5. Step 5: Solve for x
    x = 14,887,172,169/83,313
  6. Step 6: Final answer
    x = 178,689.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.