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Finding the Third Proportional to 118,670 and 183,687

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Solution

The third proportional to 118,670 and 183,687 is: 284,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,670 : 183,687 = 183,687 : x
  2. Step 2: Convert to fraction form
    118,670/183,687 = 183,687/x
  3. Step 3: Cross multiply
    118,670x = 183,687 × 183,687
  4. Step 4: Simplify right side
    118,670x = 33,740,913,969
  5. Step 5: Solve for x
    x = 33,740,913,969/118,670
  6. Step 6: Final answer
    x = 284,325.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.