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Finding the Third Proportional to 60,121 and 93,821

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Solution

The third proportional to 60,121 and 93,821 is: 146,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,121 : 93,821 = 93,821 : x
  2. Step 2: Convert to fraction form
    60,121/93,821 = 93,821/x
  3. Step 3: Cross multiply
    60,121x = 93,821 × 93,821
  4. Step 4: Simplify right side
    60,121x = 8,802,380,041
  5. Step 5: Solve for x
    x = 8,802,380,041/60,121
  6. Step 6: Final answer
    x = 146,411.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.