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Finding the Third Proportional to 117,052 and 276,143

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Solution

The third proportional to 117,052 and 276,143 is: 651,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,052 : 276,143 = 276,143 : x
  2. Step 2: Convert to fraction form
    117,052/276,143 = 276,143/x
  3. Step 3: Cross multiply
    117,052x = 276,143 × 276,143
  4. Step 4: Simplify right side
    117,052x = 76,254,956,449
  5. Step 5: Solve for x
    x = 76,254,956,449/117,052
  6. Step 6: Final answer
    x = 651,462.23

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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.