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Finding the Third Proportional to 59,505 and 89,265

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Solution

The third proportional to 59,505 and 89,265 is: 133,908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,505 : 89,265 = 89,265 : x
  2. Step 2: Convert to fraction form
    59,505/89,265 = 89,265/x
  3. Step 3: Cross multiply
    59,505x = 89,265 × 89,265
  4. Step 4: Simplify right side
    59,505x = 7,968,240,225
  5. Step 5: Solve for x
    x = 7,968,240,225/59,505
  6. Step 6: Final answer
    x = 133,908.75

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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.