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Finding the Third Proportional to 46,382 and 101,042

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Solution

The third proportional to 46,382 and 101,042 is: 220,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,382 : 101,042 = 101,042 : x
  2. Step 2: Convert to fraction form
    46,382/101,042 = 101,042/x
  3. Step 3: Cross multiply
    46,382x = 101,042 × 101,042
  4. Step 4: Simplify right side
    46,382x = 10,209,485,764
  5. Step 5: Solve for x
    x = 10,209,485,764/46,382
  6. Step 6: Final answer
    x = 220,117.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.