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Finding the Third Proportional to 59,018.63 and 89,089.31

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Solution

The third proportional to 59,018.63 and 89,089.31 is: 134,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,018.63 : 89,089.31 = 89,089.31 : x
  2. Step 2: Convert to fraction form
    59,018.63/89,089.31 = 89,089.31/x
  3. Step 3: Cross multiply
    59,018.63x = 89,089.31 × 89,089.31
  4. Step 4: Simplify right side
    59,018.63x = 7,936,905,601.72
  5. Step 5: Solve for x
    x = 7,936,905,601.72/59,018.63
  6. Step 6: Final answer
    x = 134,481.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.