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Finding the Third Proportional to 76,724 and 122,134

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Solution

The third proportional to 76,724 and 122,134 is: 194,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724 : 122,134 = 122,134 : x
  2. Step 2: Convert to fraction form
    76,724/122,134 = 122,134/x
  3. Step 3: Cross multiply
    76,724x = 122,134 × 122,134
  4. Step 4: Simplify right side
    76,724x = 14,916,713,956
  5. Step 5: Solve for x
    x = 14,916,713,956/76,724
  6. Step 6: Final answer
    x = 194,420.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.