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Finding the Third Proportional to 117,003.75 and 176,552.25

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Solution

The third proportional to 117,003.75 and 176,552.25 is: 266,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,003.75 : 176,552.25 = 176,552.25 : x
  2. Step 2: Convert to fraction form
    117,003.75/176,552.25 = 176,552.25/x
  3. Step 3: Cross multiply
    117,003.75x = 176,552.25 × 176,552.25
  4. Step 4: Simplify right side
    117,003.75x = 31,170,696,980.06
  5. Step 5: Solve for x
    x = 31,170,696,980.06/117,003.75
  6. Step 6: Final answer
    x = 266,407.67

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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.