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Finding the Third Proportional to 64,206 and 138,294

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Solution

The third proportional to 64,206 and 138,294 is: 297,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206 : 138,294 = 138,294 : x
  2. Step 2: Convert to fraction form
    64,206/138,294 = 138,294/x
  3. Step 3: Cross multiply
    64,206x = 138,294 × 138,294
  4. Step 4: Simplify right side
    64,206x = 19,125,230,436
  5. Step 5: Solve for x
    x = 19,125,230,436/64,206
  6. Step 6: Final answer
    x = 297,872.95

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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.