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Finding the Third Proportional to 52,954 and 77,809

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Solution

The third proportional to 52,954 and 77,809 is: 114,330.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954 : 77,809 = 77,809 : x
  2. Step 2: Convert to fraction form
    52,954/77,809 = 77,809/x
  3. Step 3: Cross multiply
    52,954x = 77,809 × 77,809
  4. Step 4: Simplify right side
    52,954x = 6,054,240,481
  5. Step 5: Solve for x
    x = 6,054,240,481/52,954
  6. Step 6: Final answer
    x = 114,330.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.