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Finding the Third Proportional to 90,072 and 134,604

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Solution

The third proportional to 90,072 and 134,604 is: 201,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,072 : 134,604 = 134,604 : x
  2. Step 2: Convert to fraction form
    90,072/134,604 = 134,604/x
  3. Step 3: Cross multiply
    90,072x = 134,604 × 134,604
  4. Step 4: Simplify right side
    90,072x = 18,118,236,816
  5. Step 5: Solve for x
    x = 18,118,236,816/90,072
  6. Step 6: Final answer
    x = 201,152.82

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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.