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Finding the Third Proportional to 64,966 and 140,294

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Solution

The third proportional to 64,966 and 140,294 is: 302,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,966 : 140,294 = 140,294 : x
  2. Step 2: Convert to fraction form
    64,966/140,294 = 140,294/x
  3. Step 3: Cross multiply
    64,966x = 140,294 × 140,294
  4. Step 4: Simplify right side
    64,966x = 19,682,406,436
  5. Step 5: Solve for x
    x = 19,682,406,436/64,966
  6. Step 6: Final answer
    x = 302,964.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.