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Finding the Third Proportional to 55,700 and 80,526

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Solution

The third proportional to 55,700 and 80,526 is: 116,417.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,700 : 80,526 = 80,526 : x
  2. Step 2: Convert to fraction form
    55,700/80,526 = 80,526/x
  3. Step 3: Cross multiply
    55,700x = 80,526 × 80,526
  4. Step 4: Simplify right side
    55,700x = 6,484,436,676
  5. Step 5: Solve for x
    x = 6,484,436,676/55,700
  6. Step 6: Final answer
    x = 116,417.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.