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Finding the Third Proportional to 65,592.75 and 98,369.50

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Solution

The third proportional to 65,592.75 and 98,369.50 is: 147,524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,592.75 : 98,369.50 = 98,369.50 : x
  2. Step 2: Convert to fraction form
    65,592.75/98,369.50 = 98,369.50/x
  3. Step 3: Cross multiply
    65,592.75x = 98,369.50 × 98,369.50
  4. Step 4: Simplify right side
    65,592.75x = 9,676,558,530.25
  5. Step 5: Solve for x
    x = 9,676,558,530.25/65,592.75
  6. Step 6: Final answer
    x = 147,524.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.