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Finding the Third Proportional to 90,092 and 208,787

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Solution

The third proportional to 90,092 and 208,787 is: 483,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,092 : 208,787 = 208,787 : x
  2. Step 2: Convert to fraction form
    90,092/208,787 = 208,787/x
  3. Step 3: Cross multiply
    90,092x = 208,787 × 208,787
  4. Step 4: Simplify right side
    90,092x = 43,592,011,369
  5. Step 5: Solve for x
    x = 43,592,011,369/90,092
  6. Step 6: Final answer
    x = 483,861.07

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.