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Finding the Third Proportional to 121,826 and 182,235

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Solution

The third proportional to 121,826 and 182,235 is: 272,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,826 : 182,235 = 182,235 : x
  2. Step 2: Convert to fraction form
    121,826/182,235 = 182,235/x
  3. Step 3: Cross multiply
    121,826x = 182,235 × 182,235
  4. Step 4: Simplify right side
    121,826x = 33,209,595,225
  5. Step 5: Solve for x
    x = 33,209,595,225/121,826
  6. Step 6: Final answer
    x = 272,598.59

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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.