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Finding the Third Proportional to 76,392 and 114,732

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Solution

The third proportional to 76,392 and 114,732 is: 172,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,392 : 114,732 = 114,732 : x
  2. Step 2: Convert to fraction form
    76,392/114,732 = 114,732/x
  3. Step 3: Cross multiply
    76,392x = 114,732 × 114,732
  4. Step 4: Simplify right side
    76,392x = 13,163,431,824
  5. Step 5: Solve for x
    x = 13,163,431,824/76,392
  6. Step 6: Final answer
    x = 172,314.27

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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.