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Finding the Third Proportional to 42,209 and 65,336.50

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Solution

The third proportional to 42,209 and 65,336.50 is: 101,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,209 : 65,336.50 = 65,336.50 : x
  2. Step 2: Convert to fraction form
    42,209/65,336.50 = 65,336.50/x
  3. Step 3: Cross multiply
    42,209x = 65,336.50 × 65,336.50
  4. Step 4: Simplify right side
    42,209x = 4,268,858,232.25
  5. Step 5: Solve for x
    x = 4,268,858,232.25/42,209
  6. Step 6: Final answer
    x = 101,136.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.