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Finding the Third Proportional to 131,551 and 186,148

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Solution

The third proportional to 131,551 and 186,148 is: 263,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,551 : 186,148 = 186,148 : x
  2. Step 2: Convert to fraction form
    131,551/186,148 = 186,148/x
  3. Step 3: Cross multiply
    131,551x = 186,148 × 186,148
  4. Step 4: Simplify right side
    131,551x = 34,651,077,904
  5. Step 5: Solve for x
    x = 34,651,077,904/131,551
  6. Step 6: Final answer
    x = 263,404.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.