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Finding the Third Proportional to 117,630 and 177,539

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Solution

The third proportional to 117,630 and 177,539 is: 267,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,630 : 177,539 = 177,539 : x
  2. Step 2: Convert to fraction form
    117,630/177,539 = 177,539/x
  3. Step 3: Cross multiply
    117,630x = 177,539 × 177,539
  4. Step 4: Simplify right side
    117,630x = 31,520,096,521
  5. Step 5: Solve for x
    x = 31,520,096,521/117,630
  6. Step 6: Final answer
    x = 267,959.67

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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.