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Finding the Third Proportional to 114,159 and 181,808.50

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Solution

The third proportional to 114,159 and 181,808.50 is: 289,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,159 : 181,808.50 = 181,808.50 : x
  2. Step 2: Convert to fraction form
    114,159/181,808.50 = 181,808.50/x
  3. Step 3: Cross multiply
    114,159x = 181,808.50 × 181,808.50
  4. Step 4: Simplify right side
    114,159x = 33,054,330,672.25
  5. Step 5: Solve for x
    x = 33,054,330,672.25/114,159
  6. Step 6: Final answer
    x = 289,546.43

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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.