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Finding the Third Proportional to 52,944 and 114,592

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Solution

The third proportional to 52,944 and 114,592 is: 248,022.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,944 : 114,592 = 114,592 : x
  2. Step 2: Convert to fraction form
    52,944/114,592 = 114,592/x
  3. Step 3: Cross multiply
    52,944x = 114,592 × 114,592
  4. Step 4: Simplify right side
    52,944x = 13,131,326,464
  5. Step 5: Solve for x
    x = 13,131,326,464/52,944
  6. Step 6: Final answer
    x = 248,022.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.