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Finding the Third Proportional to 46,191.50 and 74,391.75

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Solution

The third proportional to 46,191.50 and 74,391.75 is: 119,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,191.50 : 74,391.75 = 74,391.75 : x
  2. Step 2: Convert to fraction form
    46,191.50/74,391.75 = 74,391.75/x
  3. Step 3: Cross multiply
    46,191.50x = 74,391.75 × 74,391.75
  4. Step 4: Simplify right side
    46,191.50x = 5,534,132,468.06
  5. Step 5: Solve for x
    x = 5,534,132,468.06/46,191.50
  6. Step 6: Final answer
    x = 119,808.46

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.