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Finding the Third Proportional to 114,416 and 175,028

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Solution

The third proportional to 114,416 and 175,028 is: 267,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,416 : 175,028 = 175,028 : x
  2. Step 2: Convert to fraction form
    114,416/175,028 = 175,028/x
  3. Step 3: Cross multiply
    114,416x = 175,028 × 175,028
  4. Step 4: Simplify right side
    114,416x = 30,634,800,784
  5. Step 5: Solve for x
    x = 30,634,800,784/114,416
  6. Step 6: Final answer
    x = 267,749.27

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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.