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Finding the Third Proportional to 51,846 and 114,060

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Solution

The third proportional to 51,846 and 114,060 is: 250,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,846 : 114,060 = 114,060 : x
  2. Step 2: Convert to fraction form
    51,846/114,060 = 114,060/x
  3. Step 3: Cross multiply
    51,846x = 114,060 × 114,060
  4. Step 4: Simplify right side
    51,846x = 13,009,683,600
  5. Step 5: Solve for x
    x = 13,009,683,600/51,846
  6. Step 6: Final answer
    x = 250,929.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.