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Finding the Third Proportional to 46,739 and 101,014

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Solution

The third proportional to 46,739 and 101,014 is: 218,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,739 : 101,014 = 101,014 : x
  2. Step 2: Convert to fraction form
    46,739/101,014 = 101,014/x
  3. Step 3: Cross multiply
    46,739x = 101,014 × 101,014
  4. Step 4: Simplify right side
    46,739x = 10,203,828,196
  5. Step 5: Solve for x
    x = 10,203,828,196/46,739
  6. Step 6: Final answer
    x = 218,315.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.