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Finding the Third Proportional to 110,998.69 and 172,989

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Solution

The third proportional to 110,998.69 and 172,989 is: 269,599.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,998.69 : 172,989 = 172,989 : x
  2. Step 2: Convert to fraction form
    110,998.69/172,989 = 172,989/x
  3. Step 3: Cross multiply
    110,998.69x = 172,989 × 172,989
  4. Step 4: Simplify right side
    110,998.69x = 29,925,194,121
  5. Step 5: Solve for x
    x = 29,925,194,121/110,998.69
  6. Step 6: Final answer
    x = 269,599.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.