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Finding the Third Proportional to 55,206.56 and 119,156.06

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Solution

The third proportional to 55,206.56 and 119,156.06 is: 257,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.56 : 119,156.06 = 119,156.06 : x
  2. Step 2: Convert to fraction form
    55,206.56/119,156.06 = 119,156.06/x
  3. Step 3: Cross multiply
    55,206.56x = 119,156.06 × 119,156.06
  4. Step 4: Simplify right side
    55,206.56x = 14,198,167,230.50
  5. Step 5: Solve for x
    x = 14,198,167,230.50/55,206.56
  6. Step 6: Final answer
    x = 257,182.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.