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Finding the Third Proportional to 65,964 and 134,232

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Solution

The third proportional to 65,964 and 134,232 is: 273,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,964 : 134,232 = 134,232 : x
  2. Step 2: Convert to fraction form
    65,964/134,232 = 134,232/x
  3. Step 3: Cross multiply
    65,964x = 134,232 × 134,232
  4. Step 4: Simplify right side
    65,964x = 18,018,229,824
  5. Step 5: Solve for x
    x = 18,018,229,824/65,964
  6. Step 6: Final answer
    x = 273,152.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.