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Finding the Third Proportional to 110,610 and 171,558

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Solution

The third proportional to 110,610 and 171,558 is: 266,089.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,610 : 171,558 = 171,558 : x
  2. Step 2: Convert to fraction form
    110,610/171,558 = 171,558/x
  3. Step 3: Cross multiply
    110,610x = 171,558 × 171,558
  4. Step 4: Simplify right side
    110,610x = 29,432,147,364
  5. Step 5: Solve for x
    x = 29,432,147,364/110,610
  6. Step 6: Final answer
    x = 266,089.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.