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Finding the Third Proportional to 102,571.88 and 155,273.63

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Solution

The third proportional to 102,571.88 and 155,273.63 is: 235,053.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,571.88 : 155,273.63 = 155,273.63 : x
  2. Step 2: Convert to fraction form
    102,571.88/155,273.63 = 155,273.63/x
  3. Step 3: Cross multiply
    102,571.88x = 155,273.63 × 155,273.63
  4. Step 4: Simplify right side
    102,571.88x = 24,109,898,620.64
  5. Step 5: Solve for x
    x = 24,109,898,620.64/102,571.88
  6. Step 6: Final answer
    x = 235,053.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.