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Finding the Third Proportional to 102,216 and 149,982

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Solution

The third proportional to 102,216 and 149,982 is: 220,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 149,982 = 149,982 : x
  2. Step 2: Convert to fraction form
    102,216/149,982 = 149,982/x
  3. Step 3: Cross multiply
    102,216x = 149,982 × 149,982
  4. Step 4: Simplify right side
    102,216x = 22,494,600,324
  5. Step 5: Solve for x
    x = 22,494,600,324/102,216
  6. Step 6: Final answer
    x = 220,069.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.