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Finding the Third Proportional to 121,334 and 185,865

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Solution

The third proportional to 121,334 and 185,865 is: 284,716.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,334 : 185,865 = 185,865 : x
  2. Step 2: Convert to fraction form
    121,334/185,865 = 185,865/x
  3. Step 3: Cross multiply
    121,334x = 185,865 × 185,865
  4. Step 4: Simplify right side
    121,334x = 34,545,798,225
  5. Step 5: Solve for x
    x = 34,545,798,225/121,334
  6. Step 6: Final answer
    x = 284,716.55

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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.