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Finding the Third Proportional to 75,648.94 and 164,637.56

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Solution

The third proportional to 75,648.94 and 164,637.56 is: 358,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,648.94 : 164,637.56 = 164,637.56 : x
  2. Step 2: Convert to fraction form
    75,648.94/164,637.56 = 164,637.56/x
  3. Step 3: Cross multiply
    75,648.94x = 164,637.56 × 164,637.56
  4. Step 4: Simplify right side
    75,648.94x = 27,105,526,985.94
  5. Step 5: Solve for x
    x = 27,105,526,985.94/75,648.94
  6. Step 6: Final answer
    x = 358,306.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.