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Finding the Third Proportional to 55,350 and 114,639

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Solution

The third proportional to 55,350 and 114,639 is: 237,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,350 : 114,639 = 114,639 : x
  2. Step 2: Convert to fraction form
    55,350/114,639 = 114,639/x
  3. Step 3: Cross multiply
    55,350x = 114,639 × 114,639
  4. Step 4: Simplify right side
    55,350x = 13,142,100,321
  5. Step 5: Solve for x
    x = 13,142,100,321/55,350
  6. Step 6: Final answer
    x = 237,436.32

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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.