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Finding the Third Proportional to 110,772 and 167,476.50

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Solution

The third proportional to 110,772 and 167,476.50 is: 253,208.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,772 : 167,476.50 = 167,476.50 : x
  2. Step 2: Convert to fraction form
    110,772/167,476.50 = 167,476.50/x
  3. Step 3: Cross multiply
    110,772x = 167,476.50 × 167,476.50
  4. Step 4: Simplify right side
    110,772x = 28,048,378,052.25
  5. Step 5: Solve for x
    x = 28,048,378,052.25/110,772
  6. Step 6: Final answer
    x = 253,208.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.