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Finding the Third Proportional to 114,000 and 175,464

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Solution

The third proportional to 114,000 and 175,464 is: 270,066.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,000 : 175,464 = 175,464 : x
  2. Step 2: Convert to fraction form
    114,000/175,464 = 175,464/x
  3. Step 3: Cross multiply
    114,000x = 175,464 × 175,464
  4. Step 4: Simplify right side
    114,000x = 30,787,615,296
  5. Step 5: Solve for x
    x = 30,787,615,296/114,000
  6. Step 6: Final answer
    x = 270,066.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.