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Finding the Third Proportional to 70,095.75 and 154,209.75

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Solution

The third proportional to 70,095.75 and 154,209.75 is: 339,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,095.75 : 154,209.75 = 154,209.75 : x
  2. Step 2: Convert to fraction form
    70,095.75/154,209.75 = 154,209.75/x
  3. Step 3: Cross multiply
    70,095.75x = 154,209.75 × 154,209.75
  4. Step 4: Simplify right side
    70,095.75x = 23,780,646,995.06
  5. Step 5: Solve for x
    x = 23,780,646,995.06/70,095.75
  6. Step 6: Final answer
    x = 339,259.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.