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Finding the Third Proportional to 55,525 and 89,420

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Solution

The third proportional to 55,525 and 89,420 is: 144,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,525 : 89,420 = 89,420 : x
  2. Step 2: Convert to fraction form
    55,525/89,420 = 89,420/x
  3. Step 3: Cross multiply
    55,525x = 89,420 × 89,420
  4. Step 4: Simplify right side
    55,525x = 7,995,936,400
  5. Step 5: Solve for x
    x = 7,995,936,400/55,525
  6. Step 6: Final answer
    x = 144,006.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.