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Finding the Third Proportional to 57,663.56 and 83,664.56

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Solution

The third proportional to 57,663.56 and 83,664.56 is: 121,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,663.56 : 83,664.56 = 83,664.56 : x
  2. Step 2: Convert to fraction form
    57,663.56/83,664.56 = 83,664.56/x
  3. Step 3: Cross multiply
    57,663.56x = 83,664.56 × 83,664.56
  4. Step 4: Simplify right side
    57,663.56x = 6,999,759,018.32
  5. Step 5: Solve for x
    x = 6,999,759,018.32/57,663.56
  6. Step 6: Final answer
    x = 121,389.64

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.