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Finding the Third Proportional to 60,836 and 94,158

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Solution

The third proportional to 60,836 and 94,158 is: 145,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,836 : 94,158 = 94,158 : x
  2. Step 2: Convert to fraction form
    60,836/94,158 = 94,158/x
  3. Step 3: Cross multiply
    60,836x = 94,158 × 94,158
  4. Step 4: Simplify right side
    60,836x = 8,865,728,964
  5. Step 5: Solve for x
    x = 8,865,728,964/60,836
  6. Step 6: Final answer
    x = 145,731.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.