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Finding the Third Proportional to 107,930 and 235,513

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Solution

The third proportional to 107,930 and 235,513 is: 513,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930 : 235,513 = 235,513 : x
  2. Step 2: Convert to fraction form
    107,930/235,513 = 235,513/x
  3. Step 3: Cross multiply
    107,930x = 235,513 × 235,513
  4. Step 4: Simplify right side
    107,930x = 55,466,373,169
  5. Step 5: Solve for x
    x = 55,466,373,169/107,930
  6. Step 6: Final answer
    x = 513,910.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.