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Finding the Third Proportional to 76,396 and 114,738

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Solution

The third proportional to 76,396 and 114,738 is: 172,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396 : 114,738 = 114,738 : x
  2. Step 2: Convert to fraction form
    76,396/114,738 = 114,738/x
  3. Step 3: Cross multiply
    76,396x = 114,738 × 114,738
  4. Step 4: Simplify right side
    76,396x = 13,164,808,644
  5. Step 5: Solve for x
    x = 13,164,808,644/76,396
  6. Step 6: Final answer
    x = 172,323.27

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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.