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Finding the Third Proportional to 68,852 and 101,995

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Solution

The third proportional to 68,852 and 101,995 is: 151,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,852 : 101,995 = 101,995 : x
  2. Step 2: Convert to fraction form
    68,852/101,995 = 101,995/x
  3. Step 3: Cross multiply
    68,852x = 101,995 × 101,995
  4. Step 4: Simplify right side
    68,852x = 10,402,980,025
  5. Step 5: Solve for x
    x = 10,402,980,025/68,852
  6. Step 6: Final answer
    x = 151,091.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.