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Finding the Third Proportional to 59,970 and 90,105

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Solution

The third proportional to 59,970 and 90,105 is: 135,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,970 : 90,105 = 90,105 : x
  2. Step 2: Convert to fraction form
    59,970/90,105 = 90,105/x
  3. Step 3: Cross multiply
    59,970x = 90,105 × 90,105
  4. Step 4: Simplify right side
    59,970x = 8,118,911,025
  5. Step 5: Solve for x
    x = 8,118,911,025/59,970
  6. Step 6: Final answer
    x = 135,382.88

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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.