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Finding the Third Proportional to 44,879 and 97,187

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Solution

The third proportional to 44,879 and 97,187 is: 210,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,879 : 97,187 = 97,187 : x
  2. Step 2: Convert to fraction form
    44,879/97,187 = 97,187/x
  3. Step 3: Cross multiply
    44,879x = 97,187 × 97,187
  4. Step 4: Simplify right side
    44,879x = 9,445,312,969
  5. Step 5: Solve for x
    x = 9,445,312,969/44,879
  6. Step 6: Final answer
    x = 210,461.75

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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.