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Finding the Third Proportional to 65,818 and 128,355

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Solution

The third proportional to 65,818 and 128,355 is: 250,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,818 : 128,355 = 128,355 : x
  2. Step 2: Convert to fraction form
    65,818/128,355 = 128,355/x
  3. Step 3: Cross multiply
    65,818x = 128,355 × 128,355
  4. Step 4: Simplify right side
    65,818x = 16,475,006,025
  5. Step 5: Solve for x
    x = 16,475,006,025/65,818
  6. Step 6: Final answer
    x = 250,311.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.