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Finding the Third Proportional to 52,980 and 115,803

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Solution

The third proportional to 52,980 and 115,803 is: 253,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,980 : 115,803 = 115,803 : x
  2. Step 2: Convert to fraction form
    52,980/115,803 = 115,803/x
  3. Step 3: Cross multiply
    52,980x = 115,803 × 115,803
  4. Step 4: Simplify right side
    52,980x = 13,410,334,809
  5. Step 5: Solve for x
    x = 13,410,334,809/52,980
  6. Step 6: Final answer
    x = 253,120.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.