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Finding the Third Proportional to 74,280.75 and 160,111.88

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Solution

The third proportional to 74,280.75 and 160,111.88 is: 345,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,280.75 : 160,111.88 = 160,111.88 : x
  2. Step 2: Convert to fraction form
    74,280.75/160,111.88 = 160,111.88/x
  3. Step 3: Cross multiply
    74,280.75x = 160,111.88 × 160,111.88
  4. Step 4: Simplify right side
    74,280.75x = 25,635,812,516.02
  5. Step 5: Solve for x
    x = 25,635,812,516.02/74,280.75
  6. Step 6: Final answer
    x = 345,120.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.