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Finding the Third Proportional to 64,858 and 139,400

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Solution

The third proportional to 64,858 and 139,400 is: 299,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 139,400 = 139,400 : x
  2. Step 2: Convert to fraction form
    64,858/139,400 = 139,400/x
  3. Step 3: Cross multiply
    64,858x = 139,400 × 139,400
  4. Step 4: Simplify right side
    64,858x = 19,432,360,000
  5. Step 5: Solve for x
    x = 19,432,360,000/64,858
  6. Step 6: Final answer
    x = 299,613.93

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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.