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Finding the Third Proportional to 75,907.13 and 164,197.13

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Solution

The third proportional to 75,907.13 and 164,197.13 is: 355,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.13 : 164,197.13 = 164,197.13 : x
  2. Step 2: Convert to fraction form
    75,907.13/164,197.13 = 164,197.13/x
  3. Step 3: Cross multiply
    75,907.13x = 164,197.13 × 164,197.13
  4. Step 4: Simplify right side
    75,907.13x = 26,960,695,858.27
  5. Step 5: Solve for x
    x = 26,960,695,858.27/75,907.13
  6. Step 6: Final answer
    x = 355,180.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.