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Finding the Third Proportional to 134,004 and 181,992

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Solution

The third proportional to 134,004 and 181,992 is: 247,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,004 : 181,992 = 181,992 : x
  2. Step 2: Convert to fraction form
    134,004/181,992 = 181,992/x
  3. Step 3: Cross multiply
    134,004x = 181,992 × 181,992
  4. Step 4: Simplify right side
    134,004x = 33,121,088,064
  5. Step 5: Solve for x
    x = 33,121,088,064/134,004
  6. Step 6: Final answer
    x = 247,164.92

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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.