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Finding the Third Proportional to 75,596 and 164,796

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Solution

The third proportional to 75,596 and 164,796 is: 359,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,596 : 164,796 = 164,796 : x
  2. Step 2: Convert to fraction form
    75,596/164,796 = 164,796/x
  3. Step 3: Cross multiply
    75,596x = 164,796 × 164,796
  4. Step 4: Simplify right side
    75,596x = 27,157,721,616
  5. Step 5: Solve for x
    x = 27,157,721,616/75,596
  6. Step 6: Final answer
    x = 359,248.13

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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.