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Finding the Third Proportional to 114,796 and 153,960

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Solution

The third proportional to 114,796 and 153,960 is: 206,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,796 : 153,960 = 153,960 : x
  2. Step 2: Convert to fraction form
    114,796/153,960 = 153,960/x
  3. Step 3: Cross multiply
    114,796x = 153,960 × 153,960
  4. Step 4: Simplify right side
    114,796x = 23,703,681,600
  5. Step 5: Solve for x
    x = 23,703,681,600/114,796
  6. Step 6: Final answer
    x = 206,485.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.