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Finding the Third Proportional to 134,014 and 182,003

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Solution

The third proportional to 134,014 and 182,003 is: 247,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,014 : 182,003 = 182,003 : x
  2. Step 2: Convert to fraction form
    134,014/182,003 = 182,003/x
  3. Step 3: Cross multiply
    134,014x = 182,003 × 182,003
  4. Step 4: Simplify right side
    134,014x = 33,125,092,009
  5. Step 5: Solve for x
    x = 33,125,092,009/134,014
  6. Step 6: Final answer
    x = 247,176.35

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.