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Finding the Third Proportional to 52,980 and 112,278

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Solution

The third proportional to 52,980 and 112,278 is: 237,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,980 : 112,278 = 112,278 : x
  2. Step 2: Convert to fraction form
    52,980/112,278 = 112,278/x
  3. Step 3: Cross multiply
    52,980x = 112,278 × 112,278
  4. Step 4: Simplify right side
    52,980x = 12,606,349,284
  5. Step 5: Solve for x
    x = 12,606,349,284/52,980
  6. Step 6: Final answer
    x = 237,945.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.