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Finding the Third Proportional to 62,770 and 136,804

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Solution

The third proportional to 62,770 and 136,804 is: 298,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,770 : 136,804 = 136,804 : x
  2. Step 2: Convert to fraction form
    62,770/136,804 = 136,804/x
  3. Step 3: Cross multiply
    62,770x = 136,804 × 136,804
  4. Step 4: Simplify right side
    62,770x = 18,715,334,416
  5. Step 5: Solve for x
    x = 18,715,334,416/62,770
  6. Step 6: Final answer
    x = 298,157.31

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