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Finding the Third Proportional to 69,990 and 94,293

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Solution

The third proportional to 69,990 and 94,293 is: 127,034.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,990 : 94,293 = 94,293 : x
  2. Step 2: Convert to fraction form
    69,990/94,293 = 94,293/x
  3. Step 3: Cross multiply
    69,990x = 94,293 × 94,293
  4. Step 4: Simplify right side
    69,990x = 8,891,169,849
  5. Step 5: Solve for x
    x = 8,891,169,849/69,990
  6. Step 6: Final answer
    x = 127,034.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.