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Finding the Third Proportional to 131,501.25 and 186,071.63

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Solution

The third proportional to 131,501.25 and 186,071.63 is: 263,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,501.25 : 186,071.63 = 186,071.63 : x
  2. Step 2: Convert to fraction form
    131,501.25/186,071.63 = 186,071.63/x
  3. Step 3: Cross multiply
    131,501.25x = 186,071.63 × 186,071.63
  4. Step 4: Simplify right side
    131,501.25x = 34,622,649,630.14
  5. Step 5: Solve for x
    x = 34,622,649,630.14/131,501.25
  6. Step 6: Final answer
    x = 263,287.61

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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.