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Finding the Third Proportional to 114,304.50 and 174,750.75

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Solution

The third proportional to 114,304.50 and 174,750.75 is: 267,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,304.50 : 174,750.75 = 174,750.75 : x
  2. Step 2: Convert to fraction form
    114,304.50/174,750.75 = 174,750.75/x
  3. Step 3: Cross multiply
    114,304.50x = 174,750.75 × 174,750.75
  4. Step 4: Simplify right side
    114,304.50x = 30,537,824,625.56
  5. Step 5: Solve for x
    x = 30,537,824,625.56/114,304.50
  6. Step 6: Final answer
    x = 267,162.05

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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.