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Finding the Third Proportional to 114,116 and 167,943

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Solution

The third proportional to 114,116 and 167,943 is: 247,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,116 : 167,943 = 167,943 : x
  2. Step 2: Convert to fraction form
    114,116/167,943 = 167,943/x
  3. Step 3: Cross multiply
    114,116x = 167,943 × 167,943
  4. Step 4: Simplify right side
    114,116x = 28,204,851,249
  5. Step 5: Solve for x
    x = 28,204,851,249/114,116
  6. Step 6: Final answer
    x = 247,159.48

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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.