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Finding the Third Proportional to 114,711.75 and 168,680.25

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Solution

The third proportional to 114,711.75 and 168,680.25 is: 248,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,711.75 : 168,680.25 = 168,680.25 : x
  2. Step 2: Convert to fraction form
    114,711.75/168,680.25 = 168,680.25/x
  3. Step 3: Cross multiply
    114,711.75x = 168,680.25 × 168,680.25
  4. Step 4: Simplify right side
    114,711.75x = 28,453,026,740.06
  5. Step 5: Solve for x
    x = 28,453,026,740.06/114,711.75
  6. Step 6: Final answer
    x = 248,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.