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Finding the Third Proportional to 71,968 and 106,008

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Solution

The third proportional to 71,968 and 106,008 is: 156,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968 : 106,008 = 106,008 : x
  2. Step 2: Convert to fraction form
    71,968/106,008 = 106,008/x
  3. Step 3: Cross multiply
    71,968x = 106,008 × 106,008
  4. Step 4: Simplify right side
    71,968x = 11,237,696,064
  5. Step 5: Solve for x
    x = 11,237,696,064/71,968
  6. Step 6: Final answer
    x = 156,148.51

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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.