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Finding the Third Proportional to 45,303 and 99,171

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Solution

The third proportional to 45,303 and 99,171 is: 217,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,303 : 99,171 = 99,171 : x
  2. Step 2: Convert to fraction form
    45,303/99,171 = 99,171/x
  3. Step 3: Cross multiply
    45,303x = 99,171 × 99,171
  4. Step 4: Simplify right side
    45,303x = 9,834,887,241
  5. Step 5: Solve for x
    x = 9,834,887,241/45,303
  6. Step 6: Final answer
    x = 217,091.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.