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Finding the Third Proportional to 64,848 and 139,344

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Solution

The third proportional to 64,848 and 139,344 is: 299,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,848 : 139,344 = 139,344 : x
  2. Step 2: Convert to fraction form
    64,848/139,344 = 139,344/x
  3. Step 3: Cross multiply
    64,848x = 139,344 × 139,344
  4. Step 4: Simplify right side
    64,848x = 19,416,750,336
  5. Step 5: Solve for x
    x = 19,416,750,336/64,848
  6. Step 6: Final answer
    x = 299,419.42

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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.