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Finding the Third Proportional to 50,139 and 108,114.75

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Solution

The third proportional to 50,139 and 108,114.75 is: 233,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,139 : 108,114.75 = 108,114.75 : x
  2. Step 2: Convert to fraction form
    50,139/108,114.75 = 108,114.75/x
  3. Step 3: Cross multiply
    50,139x = 108,114.75 × 108,114.75
  4. Step 4: Simplify right side
    50,139x = 11,688,799,167.56
  5. Step 5: Solve for x
    x = 11,688,799,167.56/50,139
  6. Step 6: Final answer
    x = 233,127.89

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