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Finding the Third Proportional to 51,309.07 and 100,132.14

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Solution

The third proportional to 51,309.07 and 100,132.14 is: 195,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.07 : 100,132.14 = 100,132.14 : x
  2. Step 2: Convert to fraction form
    51,309.07/100,132.14 = 100,132.14/x
  3. Step 3: Cross multiply
    51,309.07x = 100,132.14 × 100,132.14
  4. Step 4: Simplify right side
    51,309.07x = 10,026,444,803.86
  5. Step 5: Solve for x
    x = 10,026,444,803.86/51,309.07
  6. Step 6: Final answer
    x = 195,412.72

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.