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Finding the Third Proportional to 137,679.75 and 201,234.38

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Solution

The third proportional to 137,679.75 and 201,234.38 is: 294,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,679.75 : 201,234.38 = 201,234.38 : x
  2. Step 2: Convert to fraction form
    137,679.75/201,234.38 = 201,234.38/x
  3. Step 3: Cross multiply
    137,679.75x = 201,234.38 × 201,234.38
  4. Step 4: Simplify right side
    137,679.75x = 40,495,273,681.64
  5. Step 5: Solve for x
    x = 40,495,273,681.64/137,679.75
  6. Step 6: Final answer
    x = 294,126.58

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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.