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Finding the Third Proportional to 46,051.50 and 101,782

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Solution

The third proportional to 46,051.50 and 101,782 is: 224,956.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,051.50 : 101,782 = 101,782 : x
  2. Step 2: Convert to fraction form
    46,051.50/101,782 = 101,782/x
  3. Step 3: Cross multiply
    46,051.50x = 101,782 × 101,782
  4. Step 4: Simplify right side
    46,051.50x = 10,359,575,524
  5. Step 5: Solve for x
    x = 10,359,575,524/46,051.50
  6. Step 6: Final answer
    x = 224,956.31

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.