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Finding the Third Proportional to 55,372 and 118,586

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Solution

The third proportional to 55,372 and 118,586 is: 253,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,372 : 118,586 = 118,586 : x
  2. Step 2: Convert to fraction form
    55,372/118,586 = 118,586/x
  3. Step 3: Cross multiply
    55,372x = 118,586 × 118,586
  4. Step 4: Simplify right side
    55,372x = 14,062,639,396
  5. Step 5: Solve for x
    x = 14,062,639,396/55,372
  6. Step 6: Final answer
    x = 253,966.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.