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Finding the Third Proportional to 91,260 and 135,558

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Solution

The third proportional to 91,260 and 135,558 is: 201,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,260 : 135,558 = 135,558 : x
  2. Step 2: Convert to fraction form
    91,260/135,558 = 135,558/x
  3. Step 3: Cross multiply
    91,260x = 135,558 × 135,558
  4. Step 4: Simplify right side
    91,260x = 18,375,971,364
  5. Step 5: Solve for x
    x = 18,375,971,364/91,260
  6. Step 6: Final answer
    x = 201,358.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.