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Finding the Third Proportional to 75,656 and 164,416

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Solution

The third proportional to 75,656 and 164,416 is: 357,309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,656 : 164,416 = 164,416 : x
  2. Step 2: Convert to fraction form
    75,656/164,416 = 164,416/x
  3. Step 3: Cross multiply
    75,656x = 164,416 × 164,416
  4. Step 4: Simplify right side
    75,656x = 27,032,621,056
  5. Step 5: Solve for x
    x = 27,032,621,056/75,656
  6. Step 6: Final answer
    x = 357,309.68

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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.