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Finding the Third Proportional to 62,276 and 94,063

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Solution

The third proportional to 62,276 and 94,063 is: 142,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,276 : 94,063 = 94,063 : x
  2. Step 2: Convert to fraction form
    62,276/94,063 = 94,063/x
  3. Step 3: Cross multiply
    62,276x = 94,063 × 94,063
  4. Step 4: Simplify right side
    62,276x = 8,847,847,969
  5. Step 5: Solve for x
    x = 8,847,847,969/62,276
  6. Step 6: Final answer
    x = 142,074.76

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Why These Related Problems?

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