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Finding the Third Proportional to 55,908 and 89,775

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Solution

The third proportional to 55,908 and 89,775 is: 144,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,908 : 89,775 = 89,775 : x
  2. Step 2: Convert to fraction form
    55,908/89,775 = 89,775/x
  3. Step 3: Cross multiply
    55,908x = 89,775 × 89,775
  4. Step 4: Simplify right side
    55,908x = 8,059,550,625
  5. Step 5: Solve for x
    x = 8,059,550,625/55,908
  6. Step 6: Final answer
    x = 144,157.38

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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.