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Finding the Third Proportional to 114,541 and 175,213

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Solution

The third proportional to 114,541 and 175,213 is: 268,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,541 : 175,213 = 175,213 : x
  2. Step 2: Convert to fraction form
    114,541/175,213 = 175,213/x
  3. Step 3: Cross multiply
    114,541x = 175,213 × 175,213
  4. Step 4: Simplify right side
    114,541x = 30,699,595,369
  5. Step 5: Solve for x
    x = 30,699,595,369/114,541
  6. Step 6: Final answer
    x = 268,022.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.