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Finding the Third Proportional to 47,685 and 103,564

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Solution

The third proportional to 47,685 and 103,564 is: 224,924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,685 : 103,564 = 103,564 : x
  2. Step 2: Convert to fraction form
    47,685/103,564 = 103,564/x
  3. Step 3: Cross multiply
    47,685x = 103,564 × 103,564
  4. Step 4: Simplify right side
    47,685x = 10,725,502,096
  5. Step 5: Solve for x
    x = 10,725,502,096/47,685
  6. Step 6: Final answer
    x = 224,924.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.