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Finding the Third Proportional to 100,968.75 and 156,314.25

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Solution

The third proportional to 100,968.75 and 156,314.25 is: 241,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,968.75 : 156,314.25 = 156,314.25 : x
  2. Step 2: Convert to fraction form
    100,968.75/156,314.25 = 156,314.25/x
  3. Step 3: Cross multiply
    100,968.75x = 156,314.25 × 156,314.25
  4. Step 4: Simplify right side
    100,968.75x = 24,434,144,753.06
  5. Step 5: Solve for x
    x = 24,434,144,753.06/100,968.75
  6. Step 6: Final answer
    x = 241,997.10

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Why These Related Problems?

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