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Finding the Third Proportional to 50,938.88 and 106,525.13

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Solution

The third proportional to 50,938.88 and 106,525.13 is: 222,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,938.88 : 106,525.13 = 106,525.13 : x
  2. Step 2: Convert to fraction form
    50,938.88/106,525.13 = 106,525.13/x
  3. Step 3: Cross multiply
    50,938.88x = 106,525.13 × 106,525.13
  4. Step 4: Simplify right side
    50,938.88x = 11,347,602,256.27
  5. Step 5: Solve for x
    x = 11,347,602,256.27/50,938.88
  6. Step 6: Final answer
    x = 222,769.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.