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Finding the Third Proportional to 59,134.50 and 89,317.50

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Solution

The third proportional to 59,134.50 and 89,317.50 is: 134,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,134.50 : 89,317.50 = 89,317.50 : x
  2. Step 2: Convert to fraction form
    59,134.50/89,317.50 = 89,317.50/x
  3. Step 3: Cross multiply
    59,134.50x = 89,317.50 × 89,317.50
  4. Step 4: Simplify right side
    59,134.50x = 7,977,615,806.25
  5. Step 5: Solve for x
    x = 7,977,615,806.25/59,134.50
  6. Step 6: Final answer
    x = 134,906.29

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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.