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Finding the Third Proportional to 114,037 and 174,919

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Solution

The third proportional to 114,037 and 174,919 is: 268,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,037 : 174,919 = 174,919 : x
  2. Step 2: Convert to fraction form
    114,037/174,919 = 174,919/x
  3. Step 3: Cross multiply
    114,037x = 174,919 × 174,919
  4. Step 4: Simplify right side
    114,037x = 30,596,656,561
  5. Step 5: Solve for x
    x = 30,596,656,561/114,037
  6. Step 6: Final answer
    x = 268,304.64

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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.