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Finding the Third Proportional to 37,261.50 and 72,655.50

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Solution

The third proportional to 37,261.50 and 72,655.50 is: 141,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,261.50 : 72,655.50 = 72,655.50 : x
  2. Step 2: Convert to fraction form
    37,261.50/72,655.50 = 72,655.50/x
  3. Step 3: Cross multiply
    37,261.50x = 72,655.50 × 72,655.50
  4. Step 4: Simplify right side
    37,261.50x = 5,278,821,680.25
  5. Step 5: Solve for x
    x = 5,278,821,680.25/37,261.50
  6. Step 6: Final answer
    x = 141,669.60

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.