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Finding the Third Proportional to 113,182 and 172,232

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Solution

The third proportional to 113,182 and 172,232 is: 262,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,182 : 172,232 = 172,232 : x
  2. Step 2: Convert to fraction form
    113,182/172,232 = 172,232/x
  3. Step 3: Cross multiply
    113,182x = 172,232 × 172,232
  4. Step 4: Simplify right side
    113,182x = 29,663,861,824
  5. Step 5: Solve for x
    x = 29,663,861,824/113,182
  6. Step 6: Final answer
    x = 262,089.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.