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Finding the Third Proportional to 51,991 and 113,877

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Solution

The third proportional to 51,991 and 113,877 is: 249,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991 : 113,877 = 113,877 : x
  2. Step 2: Convert to fraction form
    51,991/113,877 = 113,877/x
  3. Step 3: Cross multiply
    51,991x = 113,877 × 113,877
  4. Step 4: Simplify right side
    51,991x = 12,967,971,129
  5. Step 5: Solve for x
    x = 12,967,971,129/51,991
  6. Step 6: Final answer
    x = 249,427.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.