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Finding the Third Proportional to 70,096 and 153,762.75

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Solution

The third proportional to 70,096 and 153,762.75 is: 337,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,096 : 153,762.75 = 153,762.75 : x
  2. Step 2: Convert to fraction form
    70,096/153,762.75 = 153,762.75/x
  3. Step 3: Cross multiply
    70,096x = 153,762.75 × 153,762.75
  4. Step 4: Simplify right side
    70,096x = 23,642,983,287.56
  5. Step 5: Solve for x
    x = 23,642,983,287.56/70,096
  6. Step 6: Final answer
    x = 337,294.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.