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Finding the Third Proportional to 110,862.75 and 171,214.50

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Solution

The third proportional to 110,862.75 and 171,214.50 is: 264,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,862.75 : 171,214.50 = 171,214.50 : x
  2. Step 2: Convert to fraction form
    110,862.75/171,214.50 = 171,214.50/x
  3. Step 3: Cross multiply
    110,862.75x = 171,214.50 × 171,214.50
  4. Step 4: Simplify right side
    110,862.75x = 29,314,405,010.25
  5. Step 5: Solve for x
    x = 29,314,405,010.25/110,862.75
  6. Step 6: Final answer
    x = 264,420.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.