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Finding the Third Proportional to 72,108 and 107,562

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Solution

The third proportional to 72,108 and 107,562 is: 160,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,108 : 107,562 = 107,562 : x
  2. Step 2: Convert to fraction form
    72,108/107,562 = 107,562/x
  3. Step 3: Cross multiply
    72,108x = 107,562 × 107,562
  4. Step 4: Simplify right side
    72,108x = 11,569,583,844
  5. Step 5: Solve for x
    x = 11,569,583,844/72,108
  6. Step 6: Final answer
    x = 160,447.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.