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Finding the Third Proportional to 117,706.50 and 180,051.75

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Solution

The third proportional to 117,706.50 and 180,051.75 is: 275,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,706.50 : 180,051.75 = 180,051.75 : x
  2. Step 2: Convert to fraction form
    117,706.50/180,051.75 = 180,051.75/x
  3. Step 3: Cross multiply
    117,706.50x = 180,051.75 × 180,051.75
  4. Step 4: Simplify right side
    117,706.50x = 32,418,632,678.06
  5. Step 5: Solve for x
    x = 32,418,632,678.06/117,706.50
  6. Step 6: Final answer
    x = 275,419.22

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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.