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Finding the Third Proportional to 63,038 and 96,231

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Solution

The third proportional to 63,038 and 96,231 is: 146,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,038 : 96,231 = 96,231 : x
  2. Step 2: Convert to fraction form
    63,038/96,231 = 96,231/x
  3. Step 3: Cross multiply
    63,038x = 96,231 × 96,231
  4. Step 4: Simplify right side
    63,038x = 9,260,405,361
  5. Step 5: Solve for x
    x = 9,260,405,361/63,038
  6. Step 6: Final answer
    x = 146,901.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.