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Finding the Third Proportional to 75,889.13 and 164,899.69

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Solution

The third proportional to 75,889.13 and 164,899.69 is: 358,310.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,889.13 : 164,899.69 = 164,899.69 : x
  2. Step 2: Convert to fraction form
    75,889.13/164,899.69 = 164,899.69/x
  3. Step 3: Cross multiply
    75,889.13x = 164,899.69 × 164,899.69
  4. Step 4: Simplify right side
    75,889.13x = 27,191,906,937.60
  5. Step 5: Solve for x
    x = 27,191,906,937.60/75,889.13
  6. Step 6: Final answer
    x = 358,310.98

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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.