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Finding the Third Proportional to 90,843 and 130,035

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Solution

The third proportional to 90,843 and 130,035 is: 186,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,843 : 130,035 = 130,035 : x
  2. Step 2: Convert to fraction form
    90,843/130,035 = 130,035/x
  3. Step 3: Cross multiply
    90,843x = 130,035 × 130,035
  4. Step 4: Simplify right side
    90,843x = 16,909,101,225
  5. Step 5: Solve for x
    x = 16,909,101,225/90,843
  6. Step 6: Final answer
    x = 186,135.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.