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Finding the Third Proportional to 76,338 and 114,156

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Solution

The third proportional to 76,338 and 114,156 is: 170,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338 : 114,156 = 114,156 : x
  2. Step 2: Convert to fraction form
    76,338/114,156 = 114,156/x
  3. Step 3: Cross multiply
    76,338x = 114,156 × 114,156
  4. Step 4: Simplify right side
    76,338x = 13,031,592,336
  5. Step 5: Solve for x
    x = 13,031,592,336/76,338
  6. Step 6: Final answer
    x = 170,709.11

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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.