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Finding the Third Proportional to 55,770 and 79,502

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Solution

The third proportional to 55,770 and 79,502 is: 113,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,770 : 79,502 = 79,502 : x
  2. Step 2: Convert to fraction form
    55,770/79,502 = 79,502/x
  3. Step 3: Cross multiply
    55,770x = 79,502 × 79,502
  4. Step 4: Simplify right side
    55,770x = 6,320,568,004
  5. Step 5: Solve for x
    x = 6,320,568,004/55,770
  6. Step 6: Final answer
    x = 113,332.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.