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Finding the Third Proportional to 131,516 and 186,092

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Solution

The third proportional to 131,516 and 186,092 is: 263,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,516 : 186,092 = 186,092 : x
  2. Step 2: Convert to fraction form
    131,516/186,092 = 186,092/x
  3. Step 3: Cross multiply
    131,516x = 186,092 × 186,092
  4. Step 4: Simplify right side
    131,516x = 34,630,232,464
  5. Step 5: Solve for x
    x = 34,630,232,464/131,516
  6. Step 6: Final answer
    x = 263,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.