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Finding the Third Proportional to 75,710 and 164,677

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Solution

The third proportional to 75,710 and 164,677 is: 358,189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710 : 164,677 = 164,677 : x
  2. Step 2: Convert to fraction form
    75,710/164,677 = 164,677/x
  3. Step 3: Cross multiply
    75,710x = 164,677 × 164,677
  4. Step 4: Simplify right side
    75,710x = 27,118,514,329
  5. Step 5: Solve for x
    x = 27,118,514,329/75,710
  6. Step 6: Final answer
    x = 358,189.33

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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.