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Finding the Third Proportional to 72,595 and 108,893

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Solution

The third proportional to 72,595 and 108,893 is: 163,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,595 : 108,893 = 108,893 : x
  2. Step 2: Convert to fraction form
    72,595/108,893 = 108,893/x
  3. Step 3: Cross multiply
    72,595x = 108,893 × 108,893
  4. Step 4: Simplify right side
    72,595x = 11,857,685,449
  5. Step 5: Solve for x
    x = 11,857,685,449/72,595
  6. Step 6: Final answer
    x = 163,340.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.