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Finding the Third Proportional to 56,036 and 86,763

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Solution

The third proportional to 56,036 and 86,763 is: 134,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,036 : 86,763 = 86,763 : x
  2. Step 2: Convert to fraction form
    56,036/86,763 = 86,763/x
  3. Step 3: Cross multiply
    56,036x = 86,763 × 86,763
  4. Step 4: Simplify right side
    56,036x = 7,527,818,169
  5. Step 5: Solve for x
    x = 7,527,818,169/56,036
  6. Step 6: Final answer
    x = 134,338.96

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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.