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Finding the Third Proportional to 64,584 and 138,372

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Solution

The third proportional to 64,584 and 138,372 is: 296,463.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,584 : 138,372 = 138,372 : x
  2. Step 2: Convert to fraction form
    64,584/138,372 = 138,372/x
  3. Step 3: Cross multiply
    64,584x = 138,372 × 138,372
  4. Step 4: Simplify right side
    64,584x = 19,146,810,384
  5. Step 5: Solve for x
    x = 19,146,810,384/64,584
  6. Step 6: Final answer
    x = 296,463.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.