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Finding the Third Proportional to 91,296 and 137,592

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Solution

The third proportional to 91,296 and 137,592 is: 207,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,296 : 137,592 = 137,592 : x
  2. Step 2: Convert to fraction form
    91,296/137,592 = 137,592/x
  3. Step 3: Cross multiply
    91,296x = 137,592 × 137,592
  4. Step 4: Simplify right side
    91,296x = 18,931,558,464
  5. Step 5: Solve for x
    x = 18,931,558,464/91,296
  6. Step 6: Final answer
    x = 207,364.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.