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Finding the Third Proportional to 57,024.56 and 83,370.09

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Solution

The third proportional to 57,024.56 and 83,370.09 is: 121,887.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024.56 : 83,370.09 = 83,370.09 : x
  2. Step 2: Convert to fraction form
    57,024.56/83,370.09 = 83,370.09/x
  3. Step 3: Cross multiply
    57,024.56x = 83,370.09 × 83,370.09
  4. Step 4: Simplify right side
    57,024.56x = 6,950,572,531.88
  5. Step 5: Solve for x
    x = 6,950,572,531.88/57,024.56
  6. Step 6: Final answer
    x = 121,887.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.