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Finding the Third Proportional to 63,168 and 94,654

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Solution

The third proportional to 63,168 and 94,654 is: 141,834.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,168 : 94,654 = 94,654 : x
  2. Step 2: Convert to fraction form
    63,168/94,654 = 94,654/x
  3. Step 3: Cross multiply
    63,168x = 94,654 × 94,654
  4. Step 4: Simplify right side
    63,168x = 8,959,379,716
  5. Step 5: Solve for x
    x = 8,959,379,716/63,168
  6. Step 6: Final answer
    x = 141,834.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.