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Finding the Third Proportional to 114,155 and 181,803

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Solution

The third proportional to 114,155 and 181,803 is: 289,539.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,155 : 181,803 = 181,803 : x
  2. Step 2: Convert to fraction form
    114,155/181,803 = 181,803/x
  3. Step 3: Cross multiply
    114,155x = 181,803 × 181,803
  4. Step 4: Simplify right side
    114,155x = 33,052,330,809
  5. Step 5: Solve for x
    x = 33,052,330,809/114,155
  6. Step 6: Final answer
    x = 289,539.05

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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.