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Finding the Third Proportional to 81,218 and 121,827

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Solution

The third proportional to 81,218 and 121,827 is: 182,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,218 : 121,827 = 121,827 : x
  2. Step 2: Convert to fraction form
    81,218/121,827 = 121,827/x
  3. Step 3: Cross multiply
    81,218x = 121,827 × 121,827
  4. Step 4: Simplify right side
    81,218x = 14,841,817,929
  5. Step 5: Solve for x
    x = 14,841,817,929/81,218
  6. Step 6: Final answer
    x = 182,740.50

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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.