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Finding the Third Proportional to 75,022.03 and 115,652.81

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Solution

The third proportional to 75,022.03 and 115,652.81 is: 178,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,022.03 : 115,652.81 = 115,652.81 : x
  2. Step 2: Convert to fraction form
    75,022.03/115,652.81 = 115,652.81/x
  3. Step 3: Cross multiply
    75,022.03x = 115,652.81 × 115,652.81
  4. Step 4: Simplify right side
    75,022.03x = 13,375,573,039.16
  5. Step 5: Solve for x
    x = 13,375,573,039.16/75,022.03
  6. Step 6: Final answer
    x = 178,288.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.