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Finding the Third Proportional to 114,058 and 170,456

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Solution

The third proportional to 114,058 and 170,456 is: 254,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,058 : 170,456 = 170,456 : x
  2. Step 2: Convert to fraction form
    114,058/170,456 = 170,456/x
  3. Step 3: Cross multiply
    114,058x = 170,456 × 170,456
  4. Step 4: Simplify right side
    114,058x = 29,055,247,936
  5. Step 5: Solve for x
    x = 29,055,247,936/114,058
  6. Step 6: Final answer
    x = 254,740.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.