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Finding the Third Proportional to 52,088 and 80,774

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Solution

The third proportional to 52,088 and 80,774 is: 125,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,088 : 80,774 = 80,774 : x
  2. Step 2: Convert to fraction form
    52,088/80,774 = 80,774/x
  3. Step 3: Cross multiply
    52,088x = 80,774 × 80,774
  4. Step 4: Simplify right side
    52,088x = 6,524,439,076
  5. Step 5: Solve for x
    x = 6,524,439,076/52,088
  6. Step 6: Final answer
    x = 125,258.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.