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Finding the Third Proportional to 59,818 and 93,845

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Solution

The third proportional to 59,818 and 93,845 is: 147,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,818 : 93,845 = 93,845 : x
  2. Step 2: Convert to fraction form
    59,818/93,845 = 93,845/x
  3. Step 3: Cross multiply
    59,818x = 93,845 × 93,845
  4. Step 4: Simplify right side
    59,818x = 8,806,884,025
  5. Step 5: Solve for x
    x = 8,806,884,025/59,818
  6. Step 6: Final answer
    x = 147,227.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.