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Finding the Third Proportional to 107,763 and 235,590

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Solution

The third proportional to 107,763 and 235,590 is: 515,043.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,763 : 235,590 = 235,590 : x
  2. Step 2: Convert to fraction form
    107,763/235,590 = 235,590/x
  3. Step 3: Cross multiply
    107,763x = 235,590 × 235,590
  4. Step 4: Simplify right side
    107,763x = 55,502,648,100
  5. Step 5: Solve for x
    x = 55,502,648,100/107,763
  6. Step 6: Final answer
    x = 515,043.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.