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Finding the Third Proportional to 74,070 and 159,379.50

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Solution

The third proportional to 74,070 and 159,379.50 is: 342,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,070 : 159,379.50 = 159,379.50 : x
  2. Step 2: Convert to fraction form
    74,070/159,379.50 = 159,379.50/x
  3. Step 3: Cross multiply
    74,070x = 159,379.50 × 159,379.50
  4. Step 4: Simplify right side
    74,070x = 25,401,825,020.25
  5. Step 5: Solve for x
    x = 25,401,825,020.25/74,070
  6. Step 6: Final answer
    x = 342,943.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.