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Finding the Third Proportional to 129,036 and 202,770

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Solution

The third proportional to 129,036 and 202,770 is: 318,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,036 : 202,770 = 202,770 : x
  2. Step 2: Convert to fraction form
    129,036/202,770 = 202,770/x
  3. Step 3: Cross multiply
    129,036x = 202,770 × 202,770
  4. Step 4: Simplify right side
    129,036x = 41,115,672,900
  5. Step 5: Solve for x
    x = 41,115,672,900/129,036
  6. Step 6: Final answer
    x = 318,637.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.