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Finding the Third Proportional to 70,019.44 and 105,080.06

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Solution

The third proportional to 70,019.44 and 105,080.06 is: 157,696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,019.44 : 105,080.06 = 105,080.06 : x
  2. Step 2: Convert to fraction form
    70,019.44/105,080.06 = 105,080.06/x
  3. Step 3: Cross multiply
    70,019.44x = 105,080.06 × 105,080.06
  4. Step 4: Simplify right side
    70,019.44x = 11,041,819,535.00
  5. Step 5: Solve for x
    x = 11,041,819,535.00/70,019.44
  6. Step 6: Final answer
    x = 157,696.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.