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Finding the Third Proportional to 103,322 and 154,983

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Solution

The third proportional to 103,322 and 154,983 is: 232,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,322 : 154,983 = 154,983 : x
  2. Step 2: Convert to fraction form
    103,322/154,983 = 154,983/x
  3. Step 3: Cross multiply
    103,322x = 154,983 × 154,983
  4. Step 4: Simplify right side
    103,322x = 24,019,730,289
  5. Step 5: Solve for x
    x = 24,019,730,289/103,322
  6. Step 6: Final answer
    x = 232,474.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.