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Finding the Third Proportional to 69,810 and 150,689.50

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Solution

The third proportional to 69,810 and 150,689.50 is: 325,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,810 : 150,689.50 = 150,689.50 : x
  2. Step 2: Convert to fraction form
    69,810/150,689.50 = 150,689.50/x
  3. Step 3: Cross multiply
    69,810x = 150,689.50 × 150,689.50
  4. Step 4: Simplify right side
    69,810x = 22,707,325,410.25
  5. Step 5: Solve for x
    x = 22,707,325,410.25/69,810
  6. Step 6: Final answer
    x = 325,273.25

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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.