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Finding the Third Proportional to 145,242 and 200,007

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Solution

The third proportional to 145,242 and 200,007 is: 275,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,242 : 200,007 = 200,007 : x
  2. Step 2: Convert to fraction form
    145,242/200,007 = 200,007/x
  3. Step 3: Cross multiply
    145,242x = 200,007 × 200,007
  4. Step 4: Simplify right side
    145,242x = 40,002,800,049
  5. Step 5: Solve for x
    x = 40,002,800,049/145,242
  6. Step 6: Final answer
    x = 275,421.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.