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Finding the Third Proportional to 76,360 and 114,684

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Solution

The third proportional to 76,360 and 114,684 is: 172,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360 : 114,684 = 114,684 : x
  2. Step 2: Convert to fraction form
    76,360/114,684 = 114,684/x
  3. Step 3: Cross multiply
    76,360x = 114,684 × 114,684
  4. Step 4: Simplify right side
    76,360x = 13,152,419,856
  5. Step 5: Solve for x
    x = 13,152,419,856/76,360
  6. Step 6: Final answer
    x = 172,242.27

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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.