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Finding the Third Proportional to 45,034 and 97,704

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Solution

The third proportional to 45,034 and 97,704 is: 211,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,034 : 97,704 = 97,704 : x
  2. Step 2: Convert to fraction form
    45,034/97,704 = 97,704/x
  3. Step 3: Cross multiply
    45,034x = 97,704 × 97,704
  4. Step 4: Simplify right side
    45,034x = 9,546,071,616
  5. Step 5: Solve for x
    x = 9,546,071,616/45,034
  6. Step 6: Final answer
    x = 211,974.77

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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.