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Finding the Third Proportional to 114,315 and 174,768

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Solution

The third proportional to 114,315 and 174,768 is: 267,190.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,315 : 174,768 = 174,768 : x
  2. Step 2: Convert to fraction form
    114,315/174,768 = 174,768/x
  3. Step 3: Cross multiply
    114,315x = 174,768 × 174,768
  4. Step 4: Simplify right side
    114,315x = 30,543,853,824
  5. Step 5: Solve for x
    x = 30,543,853,824/114,315
  6. Step 6: Final answer
    x = 267,190.25

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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.