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Finding the Third Proportional to 63,932 and 96,784

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Solution

The third proportional to 63,932 and 96,784 is: 146,517.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,932 : 96,784 = 96,784 : x
  2. Step 2: Convert to fraction form
    63,932/96,784 = 96,784/x
  3. Step 3: Cross multiply
    63,932x = 96,784 × 96,784
  4. Step 4: Simplify right side
    63,932x = 9,367,142,656
  5. Step 5: Solve for x
    x = 9,367,142,656/63,932
  6. Step 6: Final answer
    x = 146,517.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.