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Finding the Third Proportional to 52,977 and 112,272

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Solution

The third proportional to 52,977 and 112,272 is: 237,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,977 : 112,272 = 112,272 : x
  2. Step 2: Convert to fraction form
    52,977/112,272 = 112,272/x
  3. Step 3: Cross multiply
    52,977x = 112,272 × 112,272
  4. Step 4: Simplify right side
    52,977x = 12,605,001,984
  5. Step 5: Solve for x
    x = 12,605,001,984/52,977
  6. Step 6: Final answer
    x = 237,933.48

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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.