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Finding the Third Proportional to 65,056.50 and 100,539.50

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Solution

The third proportional to 65,056.50 and 100,539.50 is: 155,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056.50 : 100,539.50 = 100,539.50 : x
  2. Step 2: Convert to fraction form
    65,056.50/100,539.50 = 100,539.50/x
  3. Step 3: Cross multiply
    65,056.50x = 100,539.50 × 100,539.50
  4. Step 4: Simplify right side
    65,056.50x = 10,108,191,060.25
  5. Step 5: Solve for x
    x = 10,108,191,060.25/65,056.50
  6. Step 6: Final answer
    x = 155,375.57

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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.