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Finding the Third Proportional to 82,498.50 and 121,803.75

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Solution

The third proportional to 82,498.50 and 121,803.75 is: 179,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,498.50 : 121,803.75 = 121,803.75 : x
  2. Step 2: Convert to fraction form
    82,498.50/121,803.75 = 121,803.75/x
  3. Step 3: Cross multiply
    82,498.50x = 121,803.75 × 121,803.75
  4. Step 4: Simplify right side
    82,498.50x = 14,836,153,514.06
  5. Step 5: Solve for x
    x = 14,836,153,514.06/82,498.50
  6. Step 6: Final answer
    x = 179,835.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.