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Finding the Third Proportional to 58,540.22 and 83,660.34

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Solution

The third proportional to 58,540.22 and 83,660.34 is: 119,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540.22 : 83,660.34 = 83,660.34 : x
  2. Step 2: Convert to fraction form
    58,540.22/83,660.34 = 83,660.34/x
  3. Step 3: Cross multiply
    58,540.22x = 83,660.34 × 83,660.34
  4. Step 4: Simplify right side
    58,540.22x = 6,999,053,116.37
  5. Step 5: Solve for x
    x = 6,999,053,116.37/58,540.22
  6. Step 6: Final answer
    x = 119,559.74

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