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Finding the Third Proportional to 72,772 and 107,110

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Solution

The third proportional to 72,772 and 107,110 is: 157,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,772 : 107,110 = 107,110 : x
  2. Step 2: Convert to fraction form
    72,772/107,110 = 107,110/x
  3. Step 3: Cross multiply
    72,772x = 107,110 × 107,110
  4. Step 4: Simplify right side
    72,772x = 11,472,552,100
  5. Step 5: Solve for x
    x = 11,472,552,100/72,772
  6. Step 6: Final answer
    x = 157,650.64

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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.