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Finding the Third Proportional to 64,984.50 and 140,015

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Solution

The third proportional to 64,984.50 and 140,015 is: 301,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984.50 : 140,015 = 140,015 : x
  2. Step 2: Convert to fraction form
    64,984.50/140,015 = 140,015/x
  3. Step 3: Cross multiply
    64,984.50x = 140,015 × 140,015
  4. Step 4: Simplify right side
    64,984.50x = 19,604,200,225
  5. Step 5: Solve for x
    x = 19,604,200,225/64,984.50
  6. Step 6: Final answer
    x = 301,675.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.