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Finding the Third Proportional to 114,158 and 181,807

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Solution

The third proportional to 114,158 and 181,807 is: 289,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,158 : 181,807 = 181,807 : x
  2. Step 2: Convert to fraction form
    114,158/181,807 = 181,807/x
  3. Step 3: Cross multiply
    114,158x = 181,807 × 181,807
  4. Step 4: Simplify right side
    114,158x = 33,053,785,249
  5. Step 5: Solve for x
    x = 33,053,785,249/114,158
  6. Step 6: Final answer
    x = 289,544.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.