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Finding the Third Proportional to 59,938 and 89,798

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Solution

The third proportional to 59,938 and 89,798 is: 134,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,938 : 89,798 = 89,798 : x
  2. Step 2: Convert to fraction form
    59,938/89,798 = 89,798/x
  3. Step 3: Cross multiply
    59,938x = 89,798 × 89,798
  4. Step 4: Simplify right side
    59,938x = 8,063,680,804
  5. Step 5: Solve for x
    x = 8,063,680,804/59,938
  6. Step 6: Final answer
    x = 134,533.70

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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.