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Finding the Third Proportional to 142,754 and 222,035

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Solution

The third proportional to 142,754 and 222,035 is: 345,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,754 : 222,035 = 222,035 : x
  2. Step 2: Convert to fraction form
    142,754/222,035 = 222,035/x
  3. Step 3: Cross multiply
    142,754x = 222,035 × 222,035
  4. Step 4: Simplify right side
    142,754x = 49,299,541,225
  5. Step 5: Solve for x
    x = 49,299,541,225/142,754
  6. Step 6: Final answer
    x = 345,346.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.