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Finding the Third Proportional to 137,079 and 200,475

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Solution

The third proportional to 137,079 and 200,475 is: 293,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,079 : 200,475 = 200,475 : x
  2. Step 2: Convert to fraction form
    137,079/200,475 = 200,475/x
  3. Step 3: Cross multiply
    137,079x = 200,475 × 200,475
  4. Step 4: Simplify right side
    137,079x = 40,190,225,625
  5. Step 5: Solve for x
    x = 40,190,225,625/137,079
  6. Step 6: Final answer
    x = 293,190.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.