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Finding the Third Proportional to 121,324 and 185,387

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Solution

The third proportional to 121,324 and 185,387 is: 283,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,324 : 185,387 = 185,387 : x
  2. Step 2: Convert to fraction form
    121,324/185,387 = 185,387/x
  3. Step 3: Cross multiply
    121,324x = 185,387 × 185,387
  4. Step 4: Simplify right side
    121,324x = 34,368,339,769
  5. Step 5: Solve for x
    x = 34,368,339,769/121,324
  6. Step 6: Final answer
    x = 283,277.34

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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.