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Finding the Third Proportional to 105,525 and 224,889.75

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Solution

The third proportional to 105,525 and 224,889.75 is: 479,274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,525 : 224,889.75 = 224,889.75 : x
  2. Step 2: Convert to fraction form
    105,525/224,889.75 = 224,889.75/x
  3. Step 3: Cross multiply
    105,525x = 224,889.75 × 224,889.75
  4. Step 4: Simplify right side
    105,525x = 50,575,399,655.06
  5. Step 5: Solve for x
    x = 50,575,399,655.06/105,525
  6. Step 6: Final answer
    x = 479,274.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.