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Finding the Third Proportional to 118,006 and 177,029

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Solution

The third proportional to 118,006 and 177,029 is: 265,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,006 : 177,029 = 177,029 : x
  2. Step 2: Convert to fraction form
    118,006/177,029 = 177,029/x
  3. Step 3: Cross multiply
    118,006x = 177,029 × 177,029
  4. Step 4: Simplify right side
    118,006x = 31,339,266,841
  5. Step 5: Solve for x
    x = 31,339,266,841/118,006
  6. Step 6: Final answer
    x = 265,573.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.