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Finding the Third Proportional to 115,177 and 174,376

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Solution

The third proportional to 115,177 and 174,376 is: 264,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,177 : 174,376 = 174,376 : x
  2. Step 2: Convert to fraction form
    115,177/174,376 = 174,376/x
  3. Step 3: Cross multiply
    115,177x = 174,376 × 174,376
  4. Step 4: Simplify right side
    115,177x = 30,406,989,376
  5. Step 5: Solve for x
    x = 30,406,989,376/115,177
  6. Step 6: Final answer
    x = 264,002.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.