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Finding the Third Proportional to 44,127 and 100,854

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Solution

The third proportional to 44,127 and 100,854 is: 230,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,127 : 100,854 = 100,854 : x
  2. Step 2: Convert to fraction form
    44,127/100,854 = 100,854/x
  3. Step 3: Cross multiply
    44,127x = 100,854 × 100,854
  4. Step 4: Simplify right side
    44,127x = 10,171,529,316
  5. Step 5: Solve for x
    x = 10,171,529,316/44,127
  6. Step 6: Final answer
    x = 230,505.80

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.