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Finding the Third Proportional to 55,496 and 118,932

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Solution

The third proportional to 55,496 and 118,932 is: 254,880.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,496 : 118,932 = 118,932 : x
  2. Step 2: Convert to fraction form
    55,496/118,932 = 118,932/x
  3. Step 3: Cross multiply
    55,496x = 118,932 × 118,932
  4. Step 4: Simplify right side
    55,496x = 14,144,820,624
  5. Step 5: Solve for x
    x = 14,144,820,624/55,496
  6. Step 6: Final answer
    x = 254,880.00

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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.