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Finding the Third Proportional to 45,106 and 97,900

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Solution

The third proportional to 45,106 and 97,900 is: 212,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,106 : 97,900 = 97,900 : x
  2. Step 2: Convert to fraction form
    45,106/97,900 = 97,900/x
  3. Step 3: Cross multiply
    45,106x = 97,900 × 97,900
  4. Step 4: Simplify right side
    45,106x = 9,584,410,000
  5. Step 5: Solve for x
    x = 9,584,410,000/45,106
  6. Step 6: Final answer
    x = 212,486.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.