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Finding the Third Proportional to 46,107 and 107,971.50

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Solution

The third proportional to 46,107 and 107,971.50 is: 252,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,107 : 107,971.50 = 107,971.50 : x
  2. Step 2: Convert to fraction form
    46,107/107,971.50 = 107,971.50/x
  3. Step 3: Cross multiply
    46,107x = 107,971.50 × 107,971.50
  4. Step 4: Simplify right side
    46,107x = 11,657,844,812.25
  5. Step 5: Solve for x
    x = 11,657,844,812.25/46,107
  6. Step 6: Final answer
    x = 252,843.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.