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Finding the Third Proportional to 62,734.50 and 128,526

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Solution

The third proportional to 62,734.50 and 128,526 is: 263,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,734.50 : 128,526 = 128,526 : x
  2. Step 2: Convert to fraction form
    62,734.50/128,526 = 128,526/x
  3. Step 3: Cross multiply
    62,734.50x = 128,526 × 128,526
  4. Step 4: Simplify right side
    62,734.50x = 16,518,932,676
  5. Step 5: Solve for x
    x = 16,518,932,676/62,734.50
  6. Step 6: Final answer
    x = 263,314.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.