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Finding the Third Proportional to 139,772 and 301,672

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Solution

The third proportional to 139,772 and 301,672 is: 651,103.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,772 : 301,672 = 301,672 : x
  2. Step 2: Convert to fraction form
    139,772/301,672 = 301,672/x
  3. Step 3: Cross multiply
    139,772x = 301,672 × 301,672
  4. Step 4: Simplify right side
    139,772x = 91,005,995,584
  5. Step 5: Solve for x
    x = 91,005,995,584/139,772
  6. Step 6: Final answer
    x = 651,103.19

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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.