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Finding the Third Proportional to 58,325.06 and 82,190.81

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Solution

The third proportional to 58,325.06 and 82,190.81 is: 115,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,325.06 : 82,190.81 = 82,190.81 : x
  2. Step 2: Convert to fraction form
    58,325.06/82,190.81 = 82,190.81/x
  3. Step 3: Cross multiply
    58,325.06x = 82,190.81 × 82,190.81
  4. Step 4: Simplify right side
    58,325.06x = 6,755,329,659.41
  5. Step 5: Solve for x
    x = 6,755,329,659.41/58,325.06
  6. Step 6: Final answer
    x = 115,822.07

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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.