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Finding the Third Proportional to 64,257 and 138,918

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Solution

The third proportional to 64,257 and 138,918 is: 300,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,257 : 138,918 = 138,918 : x
  2. Step 2: Convert to fraction form
    64,257/138,918 = 138,918/x
  3. Step 3: Cross multiply
    64,257x = 138,918 × 138,918
  4. Step 4: Simplify right side
    64,257x = 19,298,210,724
  5. Step 5: Solve for x
    x = 19,298,210,724/64,257
  6. Step 6: Final answer
    x = 300,328.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.