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Finding the Third Proportional to 107,604 and 165,942

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Solution

The third proportional to 107,604 and 165,942 is: 255,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,604 : 165,942 = 165,942 : x
  2. Step 2: Convert to fraction form
    107,604/165,942 = 165,942/x
  3. Step 3: Cross multiply
    107,604x = 165,942 × 165,942
  4. Step 4: Simplify right side
    107,604x = 27,536,747,364
  5. Step 5: Solve for x
    x = 27,536,747,364/107,604
  6. Step 6: Final answer
    x = 255,908.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.