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Finding the Third Proportional to 73,548 and 110,223.28

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Solution

The third proportional to 73,548 and 110,223.28 is: 165,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,548 : 110,223.28 = 110,223.28 : x
  2. Step 2: Convert to fraction form
    73,548/110,223.28 = 110,223.28/x
  3. Step 3: Cross multiply
    73,548x = 110,223.28 × 110,223.28
  4. Step 4: Simplify right side
    73,548x = 12,149,171,729.52
  5. Step 5: Solve for x
    x = 12,149,171,729.52/73,548
  6. Step 6: Final answer
    x = 165,186.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.