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Finding the Third Proportional to 115,464 and 183,992

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Solution

The third proportional to 115,464 and 183,992 is: 293,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,464 : 183,992 = 183,992 : x
  2. Step 2: Convert to fraction form
    115,464/183,992 = 183,992/x
  3. Step 3: Cross multiply
    115,464x = 183,992 × 183,992
  4. Step 4: Simplify right side
    115,464x = 33,853,056,064
  5. Step 5: Solve for x
    x = 33,853,056,064/115,464
  6. Step 6: Final answer
    x = 293,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.