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Finding the Third Proportional to 79,533 and 116,913

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Solution

The third proportional to 79,533 and 116,913 is: 171,861.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,533 : 116,913 = 116,913 : x
  2. Step 2: Convert to fraction form
    79,533/116,913 = 116,913/x
  3. Step 3: Cross multiply
    79,533x = 116,913 × 116,913
  4. Step 4: Simplify right side
    79,533x = 13,668,649,569
  5. Step 5: Solve for x
    x = 13,668,649,569/79,533
  6. Step 6: Final answer
    x = 171,861.36

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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.