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Finding the Third Proportional to 70,539 and 150,784.50

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Solution

The third proportional to 70,539 and 150,784.50 is: 322,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,539 : 150,784.50 = 150,784.50 : x
  2. Step 2: Convert to fraction form
    70,539/150,784.50 = 150,784.50/x
  3. Step 3: Cross multiply
    70,539x = 150,784.50 × 150,784.50
  4. Step 4: Simplify right side
    70,539x = 22,735,965,440.25
  5. Step 5: Solve for x
    x = 22,735,965,440.25/70,539
  6. Step 6: Final answer
    x = 322,317.66

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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.