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Finding the Third Proportional to 46,074 and 100,910

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Solution

The third proportional to 46,074 and 100,910 is: 221,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,074 : 100,910 = 100,910 : x
  2. Step 2: Convert to fraction form
    46,074/100,910 = 100,910/x
  3. Step 3: Cross multiply
    46,074x = 100,910 × 100,910
  4. Step 4: Simplify right side
    46,074x = 10,182,828,100
  5. Step 5: Solve for x
    x = 10,182,828,100/46,074
  6. Step 6: Final answer
    x = 221,010.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.