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Finding the Third Proportional to 70,457.75 and 147,839

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Solution

The third proportional to 70,457.75 and 147,839 is: 310,205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,457.75 : 147,839 = 147,839 : x
  2. Step 2: Convert to fraction form
    70,457.75/147,839 = 147,839/x
  3. Step 3: Cross multiply
    70,457.75x = 147,839 × 147,839
  4. Step 4: Simplify right side
    70,457.75x = 21,856,369,921
  5. Step 5: Solve for x
    x = 21,856,369,921/70,457.75
  6. Step 6: Final answer
    x = 310,205.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.