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Finding the Third Proportional to 75,683 and 164,470

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Solution

The third proportional to 75,683 and 164,470 is: 357,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683 : 164,470 = 164,470 : x
  2. Step 2: Convert to fraction form
    75,683/164,470 = 164,470/x
  3. Step 3: Cross multiply
    75,683x = 164,470 × 164,470
  4. Step 4: Simplify right side
    75,683x = 27,050,380,900
  5. Step 5: Solve for x
    x = 27,050,380,900/75,683
  6. Step 6: Final answer
    x = 357,416.87

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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.