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Finding the Third Proportional to 114,082 and 177,345

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Solution

The third proportional to 114,082 and 177,345 is: 275,689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082 : 177,345 = 177,345 : x
  2. Step 2: Convert to fraction form
    114,082/177,345 = 177,345/x
  3. Step 3: Cross multiply
    114,082x = 177,345 × 177,345
  4. Step 4: Simplify right side
    114,082x = 31,451,249,025
  5. Step 5: Solve for x
    x = 31,451,249,025/114,082
  6. Step 6: Final answer
    x = 275,689.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.