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Finding the Third Proportional to 79,888 and 106,008

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Solution

The third proportional to 79,888 and 106,008 is: 140,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,888 : 106,008 = 106,008 : x
  2. Step 2: Convert to fraction form
    79,888/106,008 = 106,008/x
  3. Step 3: Cross multiply
    79,888x = 106,008 × 106,008
  4. Step 4: Simplify right side
    79,888x = 11,237,696,064
  5. Step 5: Solve for x
    x = 11,237,696,064/79,888
  6. Step 6: Final answer
    x = 140,668.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.