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Finding the Third Proportional to 106,006 and 153,294

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Solution

The third proportional to 106,006 and 153,294 is: 221,676.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,006 : 153,294 = 153,294 : x
  2. Step 2: Convert to fraction form
    106,006/153,294 = 153,294/x
  3. Step 3: Cross multiply
    106,006x = 153,294 × 153,294
  4. Step 4: Simplify right side
    106,006x = 23,499,050,436
  5. Step 5: Solve for x
    x = 23,499,050,436/106,006
  6. Step 6: Final answer
    x = 221,676.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.