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Finding the Third Proportional to 55,541 and 119,290

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Solution

The third proportional to 55,541 and 119,290 is: 256,209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,541 : 119,290 = 119,290 : x
  2. Step 2: Convert to fraction form
    55,541/119,290 = 119,290/x
  3. Step 3: Cross multiply
    55,541x = 119,290 × 119,290
  4. Step 4: Simplify right side
    55,541x = 14,230,104,100
  5. Step 5: Solve for x
    x = 14,230,104,100/55,541
  6. Step 6: Final answer
    x = 256,209.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.