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Finding the Third Proportional to 110,584 and 151,324

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Solution

The third proportional to 110,584 and 151,324 is: 207,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584 : 151,324 = 151,324 : x
  2. Step 2: Convert to fraction form
    110,584/151,324 = 151,324/x
  3. Step 3: Cross multiply
    110,584x = 151,324 × 151,324
  4. Step 4: Simplify right side
    110,584x = 22,898,952,976
  5. Step 5: Solve for x
    x = 22,898,952,976/110,584
  6. Step 6: Final answer
    x = 207,072.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.