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Finding the Third Proportional to 42,633.13 and 71,050.75

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Solution

The third proportional to 42,633.13 and 71,050.75 is: 118,410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,633.13 : 71,050.75 = 71,050.75 : x
  2. Step 2: Convert to fraction form
    42,633.13/71,050.75 = 71,050.75/x
  3. Step 3: Cross multiply
    42,633.13x = 71,050.75 × 71,050.75
  4. Step 4: Simplify right side
    42,633.13x = 5,048,209,075.56
  5. Step 5: Solve for x
    x = 5,048,209,075.56/42,633.13
  6. Step 6: Final answer
    x = 118,410.49

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.