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Finding the Third Proportional to 103,677 and 155,596

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Solution

The third proportional to 103,677 and 155,596 is: 233,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677 : 155,596 = 155,596 : x
  2. Step 2: Convert to fraction form
    103,677/155,596 = 155,596/x
  3. Step 3: Cross multiply
    103,677x = 155,596 × 155,596
  4. Step 4: Simplify right side
    103,677x = 24,210,115,216
  5. Step 5: Solve for x
    x = 24,210,115,216/103,677
  6. Step 6: Final answer
    x = 233,514.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.