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Finding the Third Proportional to 101,996 and 117,913

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Solution

The third proportional to 101,996 and 117,913 is: 136,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,996 : 117,913 = 117,913 : x
  2. Step 2: Convert to fraction form
    101,996/117,913 = 117,913/x
  3. Step 3: Cross multiply
    101,996x = 117,913 × 117,913
  4. Step 4: Simplify right side
    101,996x = 13,903,475,569
  5. Step 5: Solve for x
    x = 13,903,475,569/101,996
  6. Step 6: Final answer
    x = 136,313.93

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.