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Finding the Third Proportional to 75,645.75 and 164,598.38

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Solution

The third proportional to 75,645.75 and 164,598.38 is: 358,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,645.75 : 164,598.38 = 164,598.38 : x
  2. Step 2: Convert to fraction form
    75,645.75/164,598.38 = 164,598.38/x
  3. Step 3: Cross multiply
    75,645.75x = 164,598.38 × 164,598.38
  4. Step 4: Simplify right side
    75,645.75x = 27,092,625,052.64
  5. Step 5: Solve for x
    x = 27,092,625,052.64/75,645.75
  6. Step 6: Final answer
    x = 358,151.32

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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.