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Finding the Third Proportional to 117,017.50 and 176,351.75

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Solution

The third proportional to 117,017.50 and 176,351.75 is: 265,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,017.50 : 176,351.75 = 176,351.75 : x
  2. Step 2: Convert to fraction form
    117,017.50/176,351.75 = 176,351.75/x
  3. Step 3: Cross multiply
    117,017.50x = 176,351.75 × 176,351.75
  4. Step 4: Simplify right side
    117,017.50x = 31,099,939,728.06
  5. Step 5: Solve for x
    x = 31,099,939,728.06/117,017.50
  6. Step 6: Final answer
    x = 265,771.70

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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.