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Finding the Third Proportional to 69,102 and 110,009

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Solution

The third proportional to 69,102 and 110,009 is: 175,132.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,102 : 110,009 = 110,009 : x
  2. Step 2: Convert to fraction form
    69,102/110,009 = 110,009/x
  3. Step 3: Cross multiply
    69,102x = 110,009 × 110,009
  4. Step 4: Simplify right side
    69,102x = 12,101,980,081
  5. Step 5: Solve for x
    x = 12,101,980,081/69,102
  6. Step 6: Final answer
    x = 175,132.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.