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Finding the Third Proportional to 64,552 and 138,992

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Solution

The third proportional to 64,552 and 138,992 is: 299,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,552 : 138,992 = 138,992 : x
  2. Step 2: Convert to fraction form
    64,552/138,992 = 138,992/x
  3. Step 3: Cross multiply
    64,552x = 138,992 × 138,992
  4. Step 4: Simplify right side
    64,552x = 19,318,776,064
  5. Step 5: Solve for x
    x = 19,318,776,064/64,552
  6. Step 6: Final answer
    x = 299,274.63

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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.