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Finding the Third Proportional to 117,044 and 276,127

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Solution

The third proportional to 117,044 and 276,127 is: 651,431.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,044 : 276,127 = 276,127 : x
  2. Step 2: Convert to fraction form
    117,044/276,127 = 276,127/x
  3. Step 3: Cross multiply
    117,044x = 276,127 × 276,127
  4. Step 4: Simplify right side
    117,044x = 76,246,120,129
  5. Step 5: Solve for x
    x = 76,246,120,129/117,044
  6. Step 6: Final answer
    x = 651,431.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.