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Finding the Third Proportional to 64,941 and 140,952

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Solution

The third proportional to 64,941 and 140,952 is: 305,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,941 : 140,952 = 140,952 : x
  2. Step 2: Convert to fraction form
    64,941/140,952 = 140,952/x
  3. Step 3: Cross multiply
    64,941x = 140,952 × 140,952
  4. Step 4: Simplify right side
    64,941x = 19,867,466,304
  5. Step 5: Solve for x
    x = 19,867,466,304/64,941
  6. Step 6: Final answer
    x = 305,931.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.