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Finding the Third Proportional to 114,396 and 174,995

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Solution

The third proportional to 114,396 and 174,995 is: 267,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,396 : 174,995 = 174,995 : x
  2. Step 2: Convert to fraction form
    114,396/174,995 = 174,995/x
  3. Step 3: Cross multiply
    114,396x = 174,995 × 174,995
  4. Step 4: Simplify right side
    114,396x = 30,623,250,025
  5. Step 5: Solve for x
    x = 30,623,250,025/114,396
  6. Step 6: Final answer
    x = 267,695.11

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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.