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Finding the Third Proportional to 139,961 and 302,024

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Solution

The third proportional to 139,961 and 302,024 is: 651,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,961 : 302,024 = 302,024 : x
  2. Step 2: Convert to fraction form
    139,961/302,024 = 302,024/x
  3. Step 3: Cross multiply
    139,961x = 302,024 × 302,024
  4. Step 4: Simplify right side
    139,961x = 91,218,496,576
  5. Step 5: Solve for x
    x = 91,218,496,576/139,961
  6. Step 6: Final answer
    x = 651,742.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.