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Finding the Third Proportional to 113,375 and 176,955

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Solution

The third proportional to 113,375 and 176,955 is: 276,190.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,375 : 176,955 = 176,955 : x
  2. Step 2: Convert to fraction form
    113,375/176,955 = 176,955/x
  3. Step 3: Cross multiply
    113,375x = 176,955 × 176,955
  4. Step 4: Simplify right side
    113,375x = 31,313,072,025
  5. Step 5: Solve for x
    x = 31,313,072,025/113,375
  6. Step 6: Final answer
    x = 276,190.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.