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Finding the Third Proportional to 64,537 and 138,962

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Solution

The third proportional to 64,537 and 138,962 is: 299,214.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,537 : 138,962 = 138,962 : x
  2. Step 2: Convert to fraction form
    64,537/138,962 = 138,962/x
  3. Step 3: Cross multiply
    64,537x = 138,962 × 138,962
  4. Step 4: Simplify right side
    64,537x = 19,310,437,444
  5. Step 5: Solve for x
    x = 19,310,437,444/64,537
  6. Step 6: Final answer
    x = 299,214.98

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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.