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Finding the Third Proportional to 75,001.57 and 164,013.61

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Solution

The third proportional to 75,001.57 and 164,013.61 is: 358,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,001.57 : 164,013.61 = 164,013.61 : x
  2. Step 2: Convert to fraction form
    75,001.57/164,013.61 = 164,013.61/x
  3. Step 3: Cross multiply
    75,001.57x = 164,013.61 × 164,013.61
  4. Step 4: Simplify right side
    75,001.57x = 26,900,464,060.22
  5. Step 5: Solve for x
    x = 26,900,464,060.22/75,001.57
  6. Step 6: Final answer
    x = 358,665.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.