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Finding the Third Proportional to 57,632 and 118,119

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Solution

The third proportional to 57,632 and 118,119 is: 242,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,632 : 118,119 = 118,119 : x
  2. Step 2: Convert to fraction form
    57,632/118,119 = 118,119/x
  3. Step 3: Cross multiply
    57,632x = 118,119 × 118,119
  4. Step 4: Simplify right side
    57,632x = 13,952,098,161
  5. Step 5: Solve for x
    x = 13,952,098,161/57,632
  6. Step 6: Final answer
    x = 242,089.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.