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Finding the Third Proportional to 76,328 and 117,388

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Solution

The third proportional to 76,328 and 117,388 is: 180,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,328 : 117,388 = 117,388 : x
  2. Step 2: Convert to fraction form
    76,328/117,388 = 117,388/x
  3. Step 3: Cross multiply
    76,328x = 117,388 × 117,388
  4. Step 4: Simplify right side
    76,328x = 13,779,942,544
  5. Step 5: Solve for x
    x = 13,779,942,544/76,328
  6. Step 6: Final answer
    x = 180,535.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.