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Finding the Third Proportional to 61,290 and 92,302

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Solution

The third proportional to 61,290 and 92,302 is: 139,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,290 : 92,302 = 92,302 : x
  2. Step 2: Convert to fraction form
    61,290/92,302 = 92,302/x
  3. Step 3: Cross multiply
    61,290x = 92,302 × 92,302
  4. Step 4: Simplify right side
    61,290x = 8,519,659,204
  5. Step 5: Solve for x
    x = 8,519,659,204/61,290
  6. Step 6: Final answer
    x = 139,005.70

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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.