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Finding the Third Proportional to 64,132 and 136,976

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Solution

The third proportional to 64,132 and 136,976 is: 292,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,132 : 136,976 = 136,976 : x
  2. Step 2: Convert to fraction form
    64,132/136,976 = 136,976/x
  3. Step 3: Cross multiply
    64,132x = 136,976 × 136,976
  4. Step 4: Simplify right side
    64,132x = 18,762,424,576
  5. Step 5: Solve for x
    x = 18,762,424,576/64,132
  6. Step 6: Final answer
    x = 292,559.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.