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Finding the Third Proportional to 64,394 and 138,226

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Solution

The third proportional to 64,394 and 138,226 is: 296,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,394 : 138,226 = 138,226 : x
  2. Step 2: Convert to fraction form
    64,394/138,226 = 138,226/x
  3. Step 3: Cross multiply
    64,394x = 138,226 × 138,226
  4. Step 4: Simplify right side
    64,394x = 19,106,427,076
  5. Step 5: Solve for x
    x = 19,106,427,076/64,394
  6. Step 6: Final answer
    x = 296,711.29

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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.