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Finding the Third Proportional to 106,246 and 155,539

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Solution

The third proportional to 106,246 and 155,539 is: 227,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246 : 155,539 = 155,539 : x
  2. Step 2: Convert to fraction form
    106,246/155,539 = 155,539/x
  3. Step 3: Cross multiply
    106,246x = 155,539 × 155,539
  4. Step 4: Simplify right side
    106,246x = 24,192,380,521
  5. Step 5: Solve for x
    x = 24,192,380,521/106,246
  6. Step 6: Final answer
    x = 227,701.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.