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Finding the Third Proportional to 70,602.75 and 110,072.25

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Solution

The third proportional to 70,602.75 and 110,072.25 is: 171,606.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.75 : 110,072.25 = 110,072.25 : x
  2. Step 2: Convert to fraction form
    70,602.75/110,072.25 = 110,072.25/x
  3. Step 3: Cross multiply
    70,602.75x = 110,072.25 × 110,072.25
  4. Step 4: Simplify right side
    70,602.75x = 12,115,900,220.06
  5. Step 5: Solve for x
    x = 12,115,900,220.06/70,602.75
  6. Step 6: Final answer
    x = 171,606.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.