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Finding the Third Proportional to 74,919.94 and 160,501.50

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Solution

The third proportional to 74,919.94 and 160,501.50 is: 343,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,919.94 : 160,501.50 = 160,501.50 : x
  2. Step 2: Convert to fraction form
    74,919.94/160,501.50 = 160,501.50/x
  3. Step 3: Cross multiply
    74,919.94x = 160,501.50 × 160,501.50
  4. Step 4: Simplify right side
    74,919.94x = 25,760,731,502.25
  5. Step 5: Solve for x
    x = 25,760,731,502.25/74,919.94
  6. Step 6: Final answer
    x = 343,843.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.