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Finding the Third Proportional to 90,148 and 130,571

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Solution

The third proportional to 90,148 and 130,571 is: 189,119.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,148 : 130,571 = 130,571 : x
  2. Step 2: Convert to fraction form
    90,148/130,571 = 130,571/x
  3. Step 3: Cross multiply
    90,148x = 130,571 × 130,571
  4. Step 4: Simplify right side
    90,148x = 17,048,786,041
  5. Step 5: Solve for x
    x = 17,048,786,041/90,148
  6. Step 6: Final answer
    x = 189,119.96

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.