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Finding the Third Proportional to 110,972 and 157,023

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Solution

The third proportional to 110,972 and 157,023 is: 222,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,972 : 157,023 = 157,023 : x
  2. Step 2: Convert to fraction form
    110,972/157,023 = 157,023/x
  3. Step 3: Cross multiply
    110,972x = 157,023 × 157,023
  4. Step 4: Simplify right side
    110,972x = 24,656,222,529
  5. Step 5: Solve for x
    x = 24,656,222,529/110,972
  6. Step 6: Final answer
    x = 222,184.18

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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.