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Finding the Third Proportional to 52,803 and 81,052.25

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Solution

The third proportional to 52,803 and 81,052.25 is: 124,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,803 : 81,052.25 = 81,052.25 : x
  2. Step 2: Convert to fraction form
    52,803/81,052.25 = 81,052.25/x
  3. Step 3: Cross multiply
    52,803x = 81,052.25 × 81,052.25
  4. Step 4: Simplify right side
    52,803x = 6,569,467,230.06
  5. Step 5: Solve for x
    x = 6,569,467,230.06/52,803
  6. Step 6: Final answer
    x = 124,414.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.