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Finding the Third Proportional to 44,969 and 97,142

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Solution

The third proportional to 44,969 and 97,142 is: 209,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,969 : 97,142 = 97,142 : x
  2. Step 2: Convert to fraction form
    44,969/97,142 = 97,142/x
  3. Step 3: Cross multiply
    44,969x = 97,142 × 97,142
  4. Step 4: Simplify right side
    44,969x = 9,436,568,164
  5. Step 5: Solve for x
    x = 9,436,568,164/44,969
  6. Step 6: Final answer
    x = 209,846.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.