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Finding the Third Proportional to 75,026 and 108,219

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Solution

The third proportional to 75,026 and 108,219 is: 156,097.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,026 : 108,219 = 108,219 : x
  2. Step 2: Convert to fraction form
    75,026/108,219 = 108,219/x
  3. Step 3: Cross multiply
    75,026x = 108,219 × 108,219
  4. Step 4: Simplify right side
    75,026x = 11,711,351,961
  5. Step 5: Solve for x
    x = 11,711,351,961/75,026
  6. Step 6: Final answer
    x = 156,097.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.