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Finding the Third Proportional to 59,094 and 88,683

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Solution

The third proportional to 59,094 and 88,683 is: 133,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,094 : 88,683 = 88,683 : x
  2. Step 2: Convert to fraction form
    59,094/88,683 = 88,683/x
  3. Step 3: Cross multiply
    59,094x = 88,683 × 88,683
  4. Step 4: Simplify right side
    59,094x = 7,864,674,489
  5. Step 5: Solve for x
    x = 7,864,674,489/59,094
  6. Step 6: Final answer
    x = 133,087.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.