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Finding the Third Proportional to 81,220 and 121,830

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Solution

The third proportional to 81,220 and 121,830 is: 182,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,220 : 121,830 = 121,830 : x
  2. Step 2: Convert to fraction form
    81,220/121,830 = 121,830/x
  3. Step 3: Cross multiply
    81,220x = 121,830 × 121,830
  4. Step 4: Simplify right side
    81,220x = 14,842,548,900
  5. Step 5: Solve for x
    x = 14,842,548,900/81,220
  6. Step 6: Final answer
    x = 182,745

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.