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Finding the Third Proportional to 56,241 and 118,806

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Solution

The third proportional to 56,241 and 118,806 is: 250,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,241 : 118,806 = 118,806 : x
  2. Step 2: Convert to fraction form
    56,241/118,806 = 118,806/x
  3. Step 3: Cross multiply
    56,241x = 118,806 × 118,806
  4. Step 4: Simplify right side
    56,241x = 14,114,865,636
  5. Step 5: Solve for x
    x = 14,114,865,636/56,241
  6. Step 6: Final answer
    x = 250,971.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.