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Finding the Third Proportional to 137,232 and 205,272

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Solution

The third proportional to 137,232 and 205,272 is: 307,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,232 : 205,272 = 205,272 : x
  2. Step 2: Convert to fraction form
    137,232/205,272 = 205,272/x
  3. Step 3: Cross multiply
    137,232x = 205,272 × 205,272
  4. Step 4: Simplify right side
    137,232x = 42,136,593,984
  5. Step 5: Solve for x
    x = 42,136,593,984/137,232
  6. Step 6: Final answer
    x = 307,046.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.