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Finding the Third Proportional to 73,953 and 105,743.81

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Solution

The third proportional to 73,953 and 105,743.81 is: 151,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,953 : 105,743.81 = 105,743.81 : x
  2. Step 2: Convert to fraction form
    73,953/105,743.81 = 105,743.81/x
  3. Step 3: Cross multiply
    73,953x = 105,743.81 × 105,743.81
  4. Step 4: Simplify right side
    73,953x = 11,181,753,882.04
  5. Step 5: Solve for x
    x = 11,181,753,882.04/73,953
  6. Step 6: Final answer
    x = 151,200.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.