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Finding the Third Proportional to 75,141 and 177,369.75

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Solution

The third proportional to 75,141 and 177,369.75 is: 418,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,141 : 177,369.75 = 177,369.75 : x
  2. Step 2: Convert to fraction form
    75,141/177,369.75 = 177,369.75/x
  3. Step 3: Cross multiply
    75,141x = 177,369.75 × 177,369.75
  4. Step 4: Simplify right side
    75,141x = 31,460,028,215.06
  5. Step 5: Solve for x
    x = 31,460,028,215.06/75,141
  6. Step 6: Final answer
    x = 418,679.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.