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Finding the Third Proportional to 114,528 and 176,976

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Solution

The third proportional to 114,528 and 176,976 is: 273,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,528 : 176,976 = 176,976 : x
  2. Step 2: Convert to fraction form
    114,528/176,976 = 176,976/x
  3. Step 3: Cross multiply
    114,528x = 176,976 × 176,976
  4. Step 4: Simplify right side
    114,528x = 31,320,504,576
  5. Step 5: Solve for x
    x = 31,320,504,576/114,528
  6. Step 6: Final answer
    x = 273,474.65

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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.