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Finding the Third Proportional to 59,970 and 89,625

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Solution

The third proportional to 59,970 and 89,625 is: 133,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,970 : 89,625 = 89,625 : x
  2. Step 2: Convert to fraction form
    59,970/89,625 = 89,625/x
  3. Step 3: Cross multiply
    59,970x = 89,625 × 89,625
  4. Step 4: Simplify right side
    59,970x = 8,032,640,625
  5. Step 5: Solve for x
    x = 8,032,640,625/59,970
  6. Step 6: Final answer
    x = 133,944.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.