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Finding the Third Proportional to 134,592 and 196,992

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Solution

The third proportional to 134,592 and 196,992 is: 288,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,592 : 196,992 = 196,992 : x
  2. Step 2: Convert to fraction form
    134,592/196,992 = 196,992/x
  3. Step 3: Cross multiply
    134,592x = 196,992 × 196,992
  4. Step 4: Simplify right side
    134,592x = 38,805,848,064
  5. Step 5: Solve for x
    x = 38,805,848,064/134,592
  6. Step 6: Final answer
    x = 288,322.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.