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Finding the Third Proportional to 45,241 and 98,513

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Solution

The third proportional to 45,241 and 98,513 is: 214,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,241 : 98,513 = 98,513 : x
  2. Step 2: Convert to fraction form
    45,241/98,513 = 98,513/x
  3. Step 3: Cross multiply
    45,241x = 98,513 × 98,513
  4. Step 4: Simplify right side
    45,241x = 9,704,811,169
  5. Step 5: Solve for x
    x = 9,704,811,169/45,241
  6. Step 6: Final answer
    x = 214,513.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.