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Finding the Third Proportional to 110,913 and 173,764

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Solution

The third proportional to 110,913 and 173,764 is: 272,230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,913 : 173,764 = 173,764 : x
  2. Step 2: Convert to fraction form
    110,913/173,764 = 173,764/x
  3. Step 3: Cross multiply
    110,913x = 173,764 × 173,764
  4. Step 4: Simplify right side
    110,913x = 30,193,927,696
  5. Step 5: Solve for x
    x = 30,193,927,696/110,913
  6. Step 6: Final answer
    x = 272,230.74

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Why These Related Problems?

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