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Finding the Third Proportional to 70,512 and 152,640

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Solution

The third proportional to 70,512 and 152,640 is: 330,425.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512 : 152,640 = 152,640 : x
  2. Step 2: Convert to fraction form
    70,512/152,640 = 152,640/x
  3. Step 3: Cross multiply
    70,512x = 152,640 × 152,640
  4. Step 4: Simplify right side
    70,512x = 23,298,969,600
  5. Step 5: Solve for x
    x = 23,298,969,600/70,512
  6. Step 6: Final answer
    x = 330,425.60

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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.