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Finding the Third Proportional to 94,496 and 146,224

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Solution

The third proportional to 94,496 and 146,224 is: 226,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,496 : 146,224 = 146,224 : x
  2. Step 2: Convert to fraction form
    94,496/146,224 = 146,224/x
  3. Step 3: Cross multiply
    94,496x = 146,224 × 146,224
  4. Step 4: Simplify right side
    94,496x = 21,381,458,176
  5. Step 5: Solve for x
    x = 21,381,458,176/94,496
  6. Step 6: Final answer
    x = 226,268.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.