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Finding the Third Proportional to 107,765 and 235,594

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Solution

The third proportional to 107,765 and 235,594 is: 515,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,765 : 235,594 = 235,594 : x
  2. Step 2: Convert to fraction form
    107,765/235,594 = 235,594/x
  3. Step 3: Cross multiply
    107,765x = 235,594 × 235,594
  4. Step 4: Simplify right side
    107,765x = 55,504,532,836
  5. Step 5: Solve for x
    x = 55,504,532,836/107,765
  6. Step 6: Final answer
    x = 515,051.57

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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.