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Finding the Third Proportional to 70,470 and 152,268

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Solution

The third proportional to 70,470 and 152,268 is: 329,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,470 : 152,268 = 152,268 : x
  2. Step 2: Convert to fraction form
    70,470/152,268 = 152,268/x
  3. Step 3: Cross multiply
    70,470x = 152,268 × 152,268
  4. Step 4: Simplify right side
    70,470x = 23,185,543,824
  5. Step 5: Solve for x
    x = 23,185,543,824/70,470
  6. Step 6: Final answer
    x = 329,012.97

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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.