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Finding the Third Proportional to 55,953 and 114,491.50

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Solution

The third proportional to 55,953 and 114,491.50 is: 234,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,953 : 114,491.50 = 114,491.50 : x
  2. Step 2: Convert to fraction form
    55,953/114,491.50 = 114,491.50/x
  3. Step 3: Cross multiply
    55,953x = 114,491.50 × 114,491.50
  4. Step 4: Simplify right side
    55,953x = 13,108,303,572.25
  5. Step 5: Solve for x
    x = 13,108,303,572.25/55,953
  6. Step 6: Final answer
    x = 234,273.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.