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Finding the Third Proportional to 45,123 and 97,779

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Solution

The third proportional to 45,123 and 97,779 is: 211,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,123 : 97,779 = 97,779 : x
  2. Step 2: Convert to fraction form
    45,123/97,779 = 97,779/x
  3. Step 3: Cross multiply
    45,123x = 97,779 × 97,779
  4. Step 4: Simplify right side
    45,123x = 9,560,732,841
  5. Step 5: Solve for x
    x = 9,560,732,841/45,123
  6. Step 6: Final answer
    x = 211,881.59

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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.