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Finding the Third Proportional to 100,558 and 155,803.75

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Solution

The third proportional to 100,558 and 155,803.75 is: 241,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,558 : 155,803.75 = 155,803.75 : x
  2. Step 2: Convert to fraction form
    100,558/155,803.75 = 155,803.75/x
  3. Step 3: Cross multiply
    100,558x = 155,803.75 × 155,803.75
  4. Step 4: Simplify right side
    100,558x = 24,274,808,514.06
  5. Step 5: Solve for x
    x = 24,274,808,514.06/100,558
  6. Step 6: Final answer
    x = 241,401.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.