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Finding the Third Proportional to 64,452 and 140,712

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Solution

The third proportional to 64,452 and 140,712 is: 307,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,452 : 140,712 = 140,712 : x
  2. Step 2: Convert to fraction form
    64,452/140,712 = 140,712/x
  3. Step 3: Cross multiply
    64,452x = 140,712 × 140,712
  4. Step 4: Simplify right side
    64,452x = 19,799,866,944
  5. Step 5: Solve for x
    x = 19,799,866,944/64,452
  6. Step 6: Final answer
    x = 307,203.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.