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Finding the Third Proportional to 121,262 and 185,355

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Solution

The third proportional to 121,262 and 185,355 is: 283,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,262 : 185,355 = 185,355 : x
  2. Step 2: Convert to fraction form
    121,262/185,355 = 185,355/x
  3. Step 3: Cross multiply
    121,262x = 185,355 × 185,355
  4. Step 4: Simplify right side
    121,262x = 34,356,476,025
  5. Step 5: Solve for x
    x = 34,356,476,025/121,262
  6. Step 6: Final answer
    x = 283,324.34

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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.