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Finding the Third Proportional to 110,740.50 and 171,806

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Solution

The third proportional to 110,740.50 and 171,806 is: 266,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,740.50 : 171,806 = 171,806 : x
  2. Step 2: Convert to fraction form
    110,740.50/171,806 = 171,806/x
  3. Step 3: Cross multiply
    110,740.50x = 171,806 × 171,806
  4. Step 4: Simplify right side
    110,740.50x = 29,517,301,636
  5. Step 5: Solve for x
    x = 29,517,301,636/110,740.50
  6. Step 6: Final answer
    x = 266,544.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.