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Finding the Third Proportional to 47,554 and 102,632

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Solution

The third proportional to 47,554 and 102,632 is: 221,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,554 : 102,632 = 102,632 : x
  2. Step 2: Convert to fraction form
    47,554/102,632 = 102,632/x
  3. Step 3: Cross multiply
    47,554x = 102,632 × 102,632
  4. Step 4: Simplify right side
    47,554x = 10,533,327,424
  5. Step 5: Solve for x
    x = 10,533,327,424/47,554
  6. Step 6: Final answer
    x = 221,502.45

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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.