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Finding the Third Proportional to 79,522 and 121,832

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Solution

The third proportional to 79,522 and 121,832 is: 186,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,522 : 121,832 = 121,832 : x
  2. Step 2: Convert to fraction form
    79,522/121,832 = 121,832/x
  3. Step 3: Cross multiply
    79,522x = 121,832 × 121,832
  4. Step 4: Simplify right side
    79,522x = 14,843,036,224
  5. Step 5: Solve for x
    x = 14,843,036,224/79,522
  6. Step 6: Final answer
    x = 186,653.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.