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Finding the Third Proportional to 74,061 and 114,710

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Solution

The third proportional to 74,061 and 114,710 is: 177,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061 : 114,710 = 114,710 : x
  2. Step 2: Convert to fraction form
    74,061/114,710 = 114,710/x
  3. Step 3: Cross multiply
    74,061x = 114,710 × 114,710
  4. Step 4: Simplify right side
    74,061x = 13,158,384,100
  5. Step 5: Solve for x
    x = 13,158,384,100/74,061
  6. Step 6: Final answer
    x = 177,669.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.