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Finding the Third Proportional to 112,161.50 and 172,399.50

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Solution

The third proportional to 112,161.50 and 172,399.50 is: 264,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,161.50 : 172,399.50 = 172,399.50 : x
  2. Step 2: Convert to fraction form
    112,161.50/172,399.50 = 172,399.50/x
  3. Step 3: Cross multiply
    112,161.50x = 172,399.50 × 172,399.50
  4. Step 4: Simplify right side
    112,161.50x = 29,721,587,600.25
  5. Step 5: Solve for x
    x = 29,721,587,600.25/112,161.50
  6. Step 6: Final answer
    x = 264,989.21

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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.