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Finding the Third Proportional to 59,285.25 and 90,411.75

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Solution

The third proportional to 59,285.25 and 90,411.75 is: 137,880.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,285.25 : 90,411.75 = 90,411.75 : x
  2. Step 2: Convert to fraction form
    59,285.25/90,411.75 = 90,411.75/x
  3. Step 3: Cross multiply
    59,285.25x = 90,411.75 × 90,411.75
  4. Step 4: Simplify right side
    59,285.25x = 8,174,284,538.06
  5. Step 5: Solve for x
    x = 8,174,284,538.06/59,285.25
  6. Step 6: Final answer
    x = 137,880.58

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.