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Finding the Third Proportional to 46,108 and 71,210

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Solution

The third proportional to 46,108 and 71,210 is: 109,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,108 : 71,210 = 71,210 : x
  2. Step 2: Convert to fraction form
    46,108/71,210 = 71,210/x
  3. Step 3: Cross multiply
    46,108x = 71,210 × 71,210
  4. Step 4: Simplify right side
    46,108x = 5,070,864,100
  5. Step 5: Solve for x
    x = 5,070,864,100/46,108
  6. Step 6: Final answer
    x = 109,977.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.