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Finding the Third Proportional to 110,977 and 157,030

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Solution

The third proportional to 110,977 and 157,030 is: 222,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,977 : 157,030 = 157,030 : x
  2. Step 2: Convert to fraction form
    110,977/157,030 = 157,030/x
  3. Step 3: Cross multiply
    110,977x = 157,030 × 157,030
  4. Step 4: Simplify right side
    110,977x = 24,658,420,900
  5. Step 5: Solve for x
    x = 24,658,420,900/110,977
  6. Step 6: Final answer
    x = 222,193.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.