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Finding the Third Proportional to 86,522 and 191,832

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Solution

The third proportional to 86,522 and 191,832 is: 425,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,522 : 191,832 = 191,832 : x
  2. Step 2: Convert to fraction form
    86,522/191,832 = 191,832/x
  3. Step 3: Cross multiply
    86,522x = 191,832 × 191,832
  4. Step 4: Simplify right side
    86,522x = 36,799,516,224
  5. Step 5: Solve for x
    x = 36,799,516,224/86,522
  6. Step 6: Final answer
    x = 425,319.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.