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Finding the Third Proportional to 104,280 and 149,436

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Solution

The third proportional to 104,280 and 149,436 is: 214,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,280 : 149,436 = 149,436 : x
  2. Step 2: Convert to fraction form
    104,280/149,436 = 149,436/x
  3. Step 3: Cross multiply
    104,280x = 149,436 × 149,436
  4. Step 4: Simplify right side
    104,280x = 22,331,118,096
  5. Step 5: Solve for x
    x = 22,331,118,096/104,280
  6. Step 6: Final answer
    x = 214,145.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.