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Finding the Third Proportional to 101,430 and 157,676.38

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Solution

The third proportional to 101,430 and 157,676.38 is: 245,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,430 : 157,676.38 = 157,676.38 : x
  2. Step 2: Convert to fraction form
    101,430/157,676.38 = 157,676.38/x
  3. Step 3: Cross multiply
    101,430x = 157,676.38 × 157,676.38
  4. Step 4: Simplify right side
    101,430x = 24,861,839,233.14
  5. Step 5: Solve for x
    x = 24,861,839,233.14/101,430
  6. Step 6: Final answer
    x = 245,113.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.