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Finding the Third Proportional to 116,831.25 and 175,050.75

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Solution

The third proportional to 116,831.25 and 175,050.75 is: 262,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,831.25 : 175,050.75 = 175,050.75 : x
  2. Step 2: Convert to fraction form
    116,831.25/175,050.75 = 175,050.75/x
  3. Step 3: Cross multiply
    116,831.25x = 175,050.75 × 175,050.75
  4. Step 4: Simplify right side
    116,831.25x = 30,642,765,075.56
  5. Step 5: Solve for x
    x = 30,642,765,075.56/116,831.25
  6. Step 6: Final answer
    x = 262,282.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.