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Finding the Third Proportional to 46,270 and 69,277

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Solution

The third proportional to 46,270 and 69,277 is: 103,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,270 : 69,277 = 69,277 : x
  2. Step 2: Convert to fraction form
    46,270/69,277 = 69,277/x
  3. Step 3: Cross multiply
    46,270x = 69,277 × 69,277
  4. Step 4: Simplify right side
    46,270x = 4,799,302,729
  5. Step 5: Solve for x
    x = 4,799,302,729/46,270
  6. Step 6: Final answer
    x = 103,723.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.