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Finding the Third Proportional to 102,123 and 221,681

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Solution

The third proportional to 102,123 and 221,681 is: 481,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,123 : 221,681 = 221,681 : x
  2. Step 2: Convert to fraction form
    102,123/221,681 = 221,681/x
  3. Step 3: Cross multiply
    102,123x = 221,681 × 221,681
  4. Step 4: Simplify right side
    102,123x = 49,142,465,761
  5. Step 5: Solve for x
    x = 49,142,465,761/102,123
  6. Step 6: Final answer
    x = 481,208.60

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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.