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Finding the Third Proportional to 47,032 and 101,263

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Solution

The third proportional to 47,032 and 101,263 is: 218,025.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,032 : 101,263 = 101,263 : x
  2. Step 2: Convert to fraction form
    47,032/101,263 = 101,263/x
  3. Step 3: Cross multiply
    47,032x = 101,263 × 101,263
  4. Step 4: Simplify right side
    47,032x = 10,254,195,169
  5. Step 5: Solve for x
    x = 10,254,195,169/47,032
  6. Step 6: Final answer
    x = 218,025.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.