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Finding the Third Proportional to 70,301.75 and 151,271.75

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Solution

The third proportional to 70,301.75 and 151,271.75 is: 325,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.75 : 151,271.75 = 151,271.75 : x
  2. Step 2: Convert to fraction form
    70,301.75/151,271.75 = 151,271.75/x
  3. Step 3: Cross multiply
    70,301.75x = 151,271.75 × 151,271.75
  4. Step 4: Simplify right side
    70,301.75x = 22,883,142,348.06
  5. Step 5: Solve for x
    x = 22,883,142,348.06/70,301.75
  6. Step 6: Final answer
    x = 325,498.90

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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.