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Finding the Third Proportional to 55,370 and 118,582

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Solution

The third proportional to 55,370 and 118,582 is: 253,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,370 : 118,582 = 118,582 : x
  2. Step 2: Convert to fraction form
    55,370/118,582 = 118,582/x
  3. Step 3: Cross multiply
    55,370x = 118,582 × 118,582
  4. Step 4: Simplify right side
    55,370x = 14,061,690,724
  5. Step 5: Solve for x
    x = 14,061,690,724/55,370
  6. Step 6: Final answer
    x = 253,958.65

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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.