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Finding the Third Proportional to 70,530 and 152,184

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Solution

The third proportional to 70,530 and 152,184 is: 328,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530 : 152,184 = 152,184 : x
  2. Step 2: Convert to fraction form
    70,530/152,184 = 152,184/x
  3. Step 3: Cross multiply
    70,530x = 152,184 × 152,184
  4. Step 4: Simplify right side
    70,530x = 23,159,969,856
  5. Step 5: Solve for x
    x = 23,159,969,856/70,530
  6. Step 6: Final answer
    x = 328,370.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.