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Finding the Third Proportional to 117,684 and 180,018

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Solution

The third proportional to 117,684 and 180,018 is: 275,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,684 : 180,018 = 180,018 : x
  2. Step 2: Convert to fraction form
    117,684/180,018 = 180,018/x
  3. Step 3: Cross multiply
    117,684x = 180,018 × 180,018
  4. Step 4: Simplify right side
    117,684x = 32,406,480,324
  5. Step 5: Solve for x
    x = 32,406,480,324/117,684
  6. Step 6: Final answer
    x = 275,368.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.