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Finding the Third Proportional to 63,185 and 94,940

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Solution

The third proportional to 63,185 and 94,940 is: 142,654.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,185 : 94,940 = 94,940 : x
  2. Step 2: Convert to fraction form
    63,185/94,940 = 94,940/x
  3. Step 3: Cross multiply
    63,185x = 94,940 × 94,940
  4. Step 4: Simplify right side
    63,185x = 9,013,603,600
  5. Step 5: Solve for x
    x = 9,013,603,600/63,185
  6. Step 6: Final answer
    x = 142,654.17

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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.