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Finding the Third Proportional to 46,342 and 101,179

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Solution

The third proportional to 46,342 and 101,179 is: 220,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,342 : 101,179 = 101,179 : x
  2. Step 2: Convert to fraction form
    46,342/101,179 = 101,179/x
  3. Step 3: Cross multiply
    46,342x = 101,179 × 101,179
  4. Step 4: Simplify right side
    46,342x = 10,237,190,041
  5. Step 5: Solve for x
    x = 10,237,190,041/46,342
  6. Step 6: Final answer
    x = 220,905.23

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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.