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Finding the Third Proportional to 111,541 and 167,559

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Solution

The third proportional to 111,541 and 167,559 is: 251,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,541 : 167,559 = 167,559 : x
  2. Step 2: Convert to fraction form
    111,541/167,559 = 167,559/x
  3. Step 3: Cross multiply
    111,541x = 167,559 × 167,559
  4. Step 4: Simplify right side
    111,541x = 28,076,018,481
  5. Step 5: Solve for x
    x = 28,076,018,481/111,541
  6. Step 6: Final answer
    x = 251,710.30

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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.