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Finding the Third Proportional to 48,713 and 76,145

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Solution

The third proportional to 48,713 and 76,145 is: 119,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,713 : 76,145 = 76,145 : x
  2. Step 2: Convert to fraction form
    48,713/76,145 = 76,145/x
  3. Step 3: Cross multiply
    48,713x = 76,145 × 76,145
  4. Step 4: Simplify right side
    48,713x = 5,798,061,025
  5. Step 5: Solve for x
    x = 5,798,061,025/48,713
  6. Step 6: Final answer
    x = 119,024.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.