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Finding the Third Proportional to 72,927 and 106,788

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Solution

The third proportional to 72,927 and 106,788 is: 156,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,927 : 106,788 = 106,788 : x
  2. Step 2: Convert to fraction form
    72,927/106,788 = 106,788/x
  3. Step 3: Cross multiply
    72,927x = 106,788 × 106,788
  4. Step 4: Simplify right side
    72,927x = 11,403,676,944
  5. Step 5: Solve for x
    x = 11,403,676,944/72,927
  6. Step 6: Final answer
    x = 156,371.12

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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.