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Finding the Third Proportional to 64,334 and 138,388

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Solution

The third proportional to 64,334 and 138,388 is: 297,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,334 : 138,388 = 138,388 : x
  2. Step 2: Convert to fraction form
    64,334/138,388 = 138,388/x
  3. Step 3: Cross multiply
    64,334x = 138,388 × 138,388
  4. Step 4: Simplify right side
    64,334x = 19,151,238,544
  5. Step 5: Solve for x
    x = 19,151,238,544/64,334
  6. Step 6: Final answer
    x = 297,684.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.