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Finding the Third Proportional to 114,541 and 174,241

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Solution

The third proportional to 114,541 and 174,241 is: 265,057.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,541 : 174,241 = 174,241 : x
  2. Step 2: Convert to fraction form
    114,541/174,241 = 174,241/x
  3. Step 3: Cross multiply
    114,541x = 174,241 × 174,241
  4. Step 4: Simplify right side
    114,541x = 30,359,926,081
  5. Step 5: Solve for x
    x = 30,359,926,081/114,541
  6. Step 6: Final answer
    x = 265,057.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.