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Finding the Third Proportional to 55,622 and 114,934

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Solution

The third proportional to 55,622 and 114,934 is: 237,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,622 : 114,934 = 114,934 : x
  2. Step 2: Convert to fraction form
    55,622/114,934 = 114,934/x
  3. Step 3: Cross multiply
    55,622x = 114,934 × 114,934
  4. Step 4: Simplify right side
    55,622x = 13,209,824,356
  5. Step 5: Solve for x
    x = 13,209,824,356/55,622
  6. Step 6: Final answer
    x = 237,492.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.