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Finding the Third Proportional to 51,019.50 and 119,139

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Solution

The third proportional to 51,019.50 and 119,139 is: 278,209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,019.50 : 119,139 = 119,139 : x
  2. Step 2: Convert to fraction form
    51,019.50/119,139 = 119,139/x
  3. Step 3: Cross multiply
    51,019.50x = 119,139 × 119,139
  4. Step 4: Simplify right side
    51,019.50x = 14,194,101,321
  5. Step 5: Solve for x
    x = 14,194,101,321/51,019.50
  6. Step 6: Final answer
    x = 278,209.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.