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Finding the Third Proportional to 73,782 and 163,069.88

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Solution

The third proportional to 73,782 and 163,069.88 is: 360,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782 : 163,069.88 = 163,069.88 : x
  2. Step 2: Convert to fraction form
    73,782/163,069.88 = 163,069.88/x
  3. Step 3: Cross multiply
    73,782x = 163,069.88 × 163,069.88
  4. Step 4: Simplify right side
    73,782x = 26,591,784,132.52
  5. Step 5: Solve for x
    x = 26,591,784,132.52/73,782
  6. Step 6: Final answer
    x = 360,410.18

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.