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Finding the Third Proportional to 110,972 and 173,895.50

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Solution

The third proportional to 110,972 and 173,895.50 is: 272,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,972 : 173,895.50 = 173,895.50 : x
  2. Step 2: Convert to fraction form
    110,972/173,895.50 = 173,895.50/x
  3. Step 3: Cross multiply
    110,972x = 173,895.50 × 173,895.50
  4. Step 4: Simplify right side
    110,972x = 30,239,644,920.25
  5. Step 5: Solve for x
    x = 30,239,644,920.25/110,972
  6. Step 6: Final answer
    x = 272,497.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.