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Finding the Third Proportional to 110,967.47 and 173,889.28

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Solution

The third proportional to 110,967.47 and 173,889.28 is: 272,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,967.47 : 173,889.28 = 173,889.28 : x
  2. Step 2: Convert to fraction form
    110,967.47/173,889.28 = 173,889.28/x
  3. Step 3: Cross multiply
    110,967.47x = 173,889.28 × 173,889.28
  4. Step 4: Simplify right side
    110,967.47x = 30,237,482,133.64
  5. Step 5: Solve for x
    x = 30,237,482,133.64/110,967.47
  6. Step 6: Final answer
    x = 272,489.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.