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Finding the Third Proportional to 46,174.50 and 71,637.75

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Solution

The third proportional to 46,174.50 and 71,637.75 is: 111,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,174.50 : 71,637.75 = 71,637.75 : x
  2. Step 2: Convert to fraction form
    46,174.50/71,637.75 = 71,637.75/x
  3. Step 3: Cross multiply
    46,174.50x = 71,637.75 × 71,637.75
  4. Step 4: Simplify right side
    46,174.50x = 5,131,967,225.06
  5. Step 5: Solve for x
    x = 5,131,967,225.06/46,174.50
  6. Step 6: Final answer
    x = 111,142.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.