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Finding the Third Proportional to 75,838.78 and 164,799.56

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Solution

The third proportional to 75,838.78 and 164,799.56 is: 358,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,838.78 : 164,799.56 = 164,799.56 : x
  2. Step 2: Convert to fraction form
    75,838.78/164,799.56 = 164,799.56/x
  3. Step 3: Cross multiply
    75,838.78x = 164,799.56 × 164,799.56
  4. Step 4: Simplify right side
    75,838.78x = 27,158,895,800.19
  5. Step 5: Solve for x
    x = 27,158,895,800.19/75,838.78
  6. Step 6: Final answer
    x = 358,113.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.