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Finding the Third Proportional to 70,124 and 154,272

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Solution

The third proportional to 70,124 and 154,272 is: 339,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,124 : 154,272 = 154,272 : x
  2. Step 2: Convert to fraction form
    70,124/154,272 = 154,272/x
  3. Step 3: Cross multiply
    70,124x = 154,272 × 154,272
  4. Step 4: Simplify right side
    70,124x = 23,799,849,984
  5. Step 5: Solve for x
    x = 23,799,849,984/70,124
  6. Step 6: Final answer
    x = 339,396.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.