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Finding the Third Proportional to 96,732 and 136,998

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Solution

The third proportional to 96,732 and 136,998 is: 194,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,732 : 136,998 = 136,998 : x
  2. Step 2: Convert to fraction form
    96,732/136,998 = 136,998/x
  3. Step 3: Cross multiply
    96,732x = 136,998 × 136,998
  4. Step 4: Simplify right side
    96,732x = 18,768,452,004
  5. Step 5: Solve for x
    x = 18,768,452,004/96,732
  6. Step 6: Final answer
    x = 194,025.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.