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Finding the Third Proportional to 75,455 and 113,192

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Solution

The third proportional to 75,455 and 113,192 is: 169,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455 : 113,192 = 113,192 : x
  2. Step 2: Convert to fraction form
    75,455/113,192 = 113,192/x
  3. Step 3: Cross multiply
    75,455x = 113,192 × 113,192
  4. Step 4: Simplify right side
    75,455x = 12,812,428,864
  5. Step 5: Solve for x
    x = 12,812,428,864/75,455
  6. Step 6: Final answer
    x = 169,802.25

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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.