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Finding the Third Proportional to 64,596 and 139,048

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Solution

The third proportional to 64,596 and 139,048 is: 299,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,596 : 139,048 = 139,048 : x
  2. Step 2: Convert to fraction form
    64,596/139,048 = 139,048/x
  3. Step 3: Cross multiply
    64,596x = 139,048 × 139,048
  4. Step 4: Simplify right side
    64,596x = 19,334,346,304
  5. Step 5: Solve for x
    x = 19,334,346,304/64,596
  6. Step 6: Final answer
    x = 299,311.82

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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.