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Finding the Third Proportional to 62,271 and 94,144

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Solution

The third proportional to 62,271 and 94,144 is: 142,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,271 : 94,144 = 94,144 : x
  2. Step 2: Convert to fraction form
    62,271/94,144 = 94,144/x
  3. Step 3: Cross multiply
    62,271x = 94,144 × 94,144
  4. Step 4: Simplify right side
    62,271x = 8,863,092,736
  5. Step 5: Solve for x
    x = 8,863,092,736/62,271
  6. Step 6: Final answer
    x = 142,330.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.