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Finding the Third Proportional to 96,813 and 155,967.50

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Solution

The third proportional to 96,813 and 155,967.50 is: 251,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,813 : 155,967.50 = 155,967.50 : x
  2. Step 2: Convert to fraction form
    96,813/155,967.50 = 155,967.50/x
  3. Step 3: Cross multiply
    96,813x = 155,967.50 × 155,967.50
  4. Step 4: Simplify right side
    96,813x = 24,325,861,056.25
  5. Step 5: Solve for x
    x = 24,325,861,056.25/96,813
  6. Step 6: Final answer
    x = 251,266.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.