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Finding the Third Proportional to 70,112.25 and 153,071.44

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Solution

The third proportional to 70,112.25 and 153,071.44 is: 334,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,112.25 : 153,071.44 = 153,071.44 : x
  2. Step 2: Convert to fraction form
    70,112.25/153,071.44 = 153,071.44/x
  3. Step 3: Cross multiply
    70,112.25x = 153,071.44 × 153,071.44
  4. Step 4: Simplify right side
    70,112.25x = 23,430,864,978.32
  5. Step 5: Solve for x
    x = 23,430,864,978.32/70,112.25
  6. Step 6: Final answer
    x = 334,190.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.