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Finding the Third Proportional to 114,412 and 175,022

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Solution

The third proportional to 114,412 and 175,022 is: 267,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,412 : 175,022 = 175,022 : x
  2. Step 2: Convert to fraction form
    114,412/175,022 = 175,022/x
  3. Step 3: Cross multiply
    114,412x = 175,022 × 175,022
  4. Step 4: Simplify right side
    114,412x = 30,632,700,484
  5. Step 5: Solve for x
    x = 30,632,700,484/114,412
  6. Step 6: Final answer
    x = 267,740.28

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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.