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Finding the Third Proportional to 106,224 and 154,953

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Solution

The third proportional to 106,224 and 154,953 is: 226,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,224 : 154,953 = 154,953 : x
  2. Step 2: Convert to fraction form
    106,224/154,953 = 154,953/x
  3. Step 3: Cross multiply
    106,224x = 154,953 × 154,953
  4. Step 4: Simplify right side
    106,224x = 24,010,432,209
  5. Step 5: Solve for x
    x = 24,010,432,209/106,224
  6. Step 6: Final answer
    x = 226,035.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.