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Finding the Third Proportional to 64,334 and 139,394

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Solution

The third proportional to 64,334 and 139,394 is: 302,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,334 : 139,394 = 139,394 : x
  2. Step 2: Convert to fraction form
    64,334/139,394 = 139,394/x
  3. Step 3: Cross multiply
    64,334x = 139,394 × 139,394
  4. Step 4: Simplify right side
    64,334x = 19,430,687,236
  5. Step 5: Solve for x
    x = 19,430,687,236/64,334
  6. Step 6: Final answer
    x = 302,028.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.