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Finding the Third Proportional to 65,972 and 134,248

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Solution

The third proportional to 65,972 and 134,248 is: 273,184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,972 : 134,248 = 134,248 : x
  2. Step 2: Convert to fraction form
    65,972/134,248 = 134,248/x
  3. Step 3: Cross multiply
    65,972x = 134,248 × 134,248
  4. Step 4: Simplify right side
    65,972x = 18,022,525,504
  5. Step 5: Solve for x
    x = 18,022,525,504/65,972
  6. Step 6: Final answer
    x = 273,184.46

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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.