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Finding the Third Proportional to 114,015.75 and 171,708

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Solution

The third proportional to 114,015.75 and 171,708 is: 258,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,015.75 : 171,708 = 171,708 : x
  2. Step 2: Convert to fraction form
    114,015.75/171,708 = 171,708/x
  3. Step 3: Cross multiply
    114,015.75x = 171,708 × 171,708
  4. Step 4: Simplify right side
    114,015.75x = 29,483,637,264
  5. Step 5: Solve for x
    x = 29,483,637,264/114,015.75
  6. Step 6: Final answer
    x = 258,592.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.