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Finding the Third Proportional to 55,330 and 118,549

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Solution

The third proportional to 55,330 and 118,549 is: 254,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,330 : 118,549 = 118,549 : x
  2. Step 2: Convert to fraction form
    55,330/118,549 = 118,549/x
  3. Step 3: Cross multiply
    55,330x = 118,549 × 118,549
  4. Step 4: Simplify right side
    55,330x = 14,053,865,401
  5. Step 5: Solve for x
    x = 14,053,865,401/55,330
  6. Step 6: Final answer
    x = 254,000.82

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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.