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Finding the Third Proportional to 70,224 and 146,283

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Solution

The third proportional to 70,224 and 146,283 is: 304,720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,224 : 146,283 = 146,283 : x
  2. Step 2: Convert to fraction form
    70,224/146,283 = 146,283/x
  3. Step 3: Cross multiply
    70,224x = 146,283 × 146,283
  4. Step 4: Simplify right side
    70,224x = 21,398,716,089
  5. Step 5: Solve for x
    x = 21,398,716,089/70,224
  6. Step 6: Final answer
    x = 304,720.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.