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Finding the Third Proportional to 46,670 and 101,270

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Solution

The third proportional to 46,670 and 101,270 is: 219,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670 : 101,270 = 101,270 : x
  2. Step 2: Convert to fraction form
    46,670/101,270 = 101,270/x
  3. Step 3: Cross multiply
    46,670x = 101,270 × 101,270
  4. Step 4: Simplify right side
    46,670x = 10,255,612,900
  5. Step 5: Solve for x
    x = 10,255,612,900/46,670
  6. Step 6: Final answer
    x = 219,747.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.