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Finding the Third Proportional to 91,536 and 134,334

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Solution

The third proportional to 91,536 and 134,334 is: 197,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,536 : 134,334 = 134,334 : x
  2. Step 2: Convert to fraction form
    91,536/134,334 = 134,334/x
  3. Step 3: Cross multiply
    91,536x = 134,334 × 134,334
  4. Step 4: Simplify right side
    91,536x = 18,045,623,556
  5. Step 5: Solve for x
    x = 18,045,623,556/91,536
  6. Step 6: Final answer
    x = 197,142.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.