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Finding the Third Proportional to 76,008 and 114,468

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Solution

The third proportional to 76,008 and 114,468 is: 172,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,008 : 114,468 = 114,468 : x
  2. Step 2: Convert to fraction form
    76,008/114,468 = 114,468/x
  3. Step 3: Cross multiply
    76,008x = 114,468 × 114,468
  4. Step 4: Simplify right side
    76,008x = 13,102,923,024
  5. Step 5: Solve for x
    x = 13,102,923,024/76,008
  6. Step 6: Final answer
    x = 172,388.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.