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Finding the Third Proportional to 137,852 and 212,772

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Solution

The third proportional to 137,852 and 212,772 is: 328,409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,852 : 212,772 = 212,772 : x
  2. Step 2: Convert to fraction form
    137,852/212,772 = 212,772/x
  3. Step 3: Cross multiply
    137,852x = 212,772 × 212,772
  4. Step 4: Simplify right side
    137,852x = 45,271,923,984
  5. Step 5: Solve for x
    x = 45,271,923,984/137,852
  6. Step 6: Final answer
    x = 328,409.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.