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Finding the Third Proportional to 45,097 and 70,102

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Solution

The third proportional to 45,097 and 70,102 is: 108,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,097 : 70,102 = 70,102 : x
  2. Step 2: Convert to fraction form
    45,097/70,102 = 70,102/x
  3. Step 3: Cross multiply
    45,097x = 70,102 × 70,102
  4. Step 4: Simplify right side
    45,097x = 4,914,290,404
  5. Step 5: Solve for x
    x = 4,914,290,404/45,097
  6. Step 6: Final answer
    x = 108,971.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.