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Finding the Third Proportional to 55,286.25 and 118,461

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Solution

The third proportional to 55,286.25 and 118,461 is: 253,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.25 : 118,461 = 118,461 : x
  2. Step 2: Convert to fraction form
    55,286.25/118,461 = 118,461/x
  3. Step 3: Cross multiply
    55,286.25x = 118,461 × 118,461
  4. Step 4: Simplify right side
    55,286.25x = 14,033,008,521
  5. Step 5: Solve for x
    x = 14,033,008,521/55,286.25
  6. Step 6: Final answer
    x = 253,824.57

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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.