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Finding the Third Proportional to 79,306 and 116,767

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Solution

The third proportional to 79,306 and 116,767 is: 171,923.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,306 : 116,767 = 116,767 : x
  2. Step 2: Convert to fraction form
    79,306/116,767 = 116,767/x
  3. Step 3: Cross multiply
    79,306x = 116,767 × 116,767
  4. Step 4: Simplify right side
    79,306x = 13,634,532,289
  5. Step 5: Solve for x
    x = 13,634,532,289/79,306
  6. Step 6: Final answer
    x = 171,923.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.