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Finding the Third Proportional to 117,077 and 248,737

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Solution

The third proportional to 117,077 and 248,737 is: 528,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,077 : 248,737 = 248,737 : x
  2. Step 2: Convert to fraction form
    117,077/248,737 = 248,737/x
  3. Step 3: Cross multiply
    117,077x = 248,737 × 248,737
  4. Step 4: Simplify right side
    117,077x = 61,870,095,169
  5. Step 5: Solve for x
    x = 61,870,095,169/117,077
  6. Step 6: Final answer
    x = 528,456.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.