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Finding the Third Proportional to 103,843.69 and 155,592.84

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Solution

The third proportional to 103,843.69 and 155,592.84 is: 233,130.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,843.69 : 155,592.84 = 155,592.84 : x
  2. Step 2: Convert to fraction form
    103,843.69/155,592.84 = 155,592.84/x
  3. Step 3: Cross multiply
    103,843.69x = 155,592.84 × 155,592.84
  4. Step 4: Simplify right side
    103,843.69x = 24,209,133,026.21
  5. Step 5: Solve for x
    x = 24,209,133,026.21/103,843.69
  6. Step 6: Final answer
    x = 233,130.52

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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.