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Finding the Third Proportional to 30,163 and 64,334

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Solution

The third proportional to 30,163 and 64,334 is: 137,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163 : 64,334 = 64,334 : x
  2. Step 2: Convert to fraction form
    30,163/64,334 = 64,334/x
  3. Step 3: Cross multiply
    30,163x = 64,334 × 64,334
  4. Step 4: Simplify right side
    30,163x = 4,138,863,556
  5. Step 5: Solve for x
    x = 4,138,863,556/30,163
  6. Step 6: Final answer
    x = 137,216.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.