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Finding the Third Proportional to 115,727 and 180,356

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Solution

The third proportional to 115,727 and 180,356 is: 281,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,727 : 180,356 = 180,356 : x
  2. Step 2: Convert to fraction form
    115,727/180,356 = 180,356/x
  3. Step 3: Cross multiply
    115,727x = 180,356 × 180,356
  4. Step 4: Simplify right side
    115,727x = 32,528,286,736
  5. Step 5: Solve for x
    x = 32,528,286,736/115,727
  6. Step 6: Final answer
    x = 281,077.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.