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Finding the Third Proportional to 62,284 and 94,073

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Solution

The third proportional to 62,284 and 94,073 is: 142,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,284 : 94,073 = 94,073 : x
  2. Step 2: Convert to fraction form
    62,284/94,073 = 94,073/x
  3. Step 3: Cross multiply
    62,284x = 94,073 × 94,073
  4. Step 4: Simplify right side
    62,284x = 8,849,729,329
  5. Step 5: Solve for x
    x = 8,849,729,329/62,284
  6. Step 6: Final answer
    x = 142,086.72

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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.