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Finding the Third Proportional to 75,429.44 and 103,904.81

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Solution

The third proportional to 75,429.44 and 103,904.81 is: 143,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429.44 : 103,904.81 = 103,904.81 : x
  2. Step 2: Convert to fraction form
    75,429.44/103,904.81 = 103,904.81/x
  3. Step 3: Cross multiply
    75,429.44x = 103,904.81 × 103,904.81
  4. Step 4: Simplify right side
    75,429.44x = 10,796,210,060.66
  5. Step 5: Solve for x
    x = 10,796,210,060.66/75,429.44
  6. Step 6: Final answer
    x = 143,129.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.