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Finding the Third Proportional to 94,202 and 142,263

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Solution

The third proportional to 94,202 and 142,263 is: 214,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,202 : 142,263 = 142,263 : x
  2. Step 2: Convert to fraction form
    94,202/142,263 = 142,263/x
  3. Step 3: Cross multiply
    94,202x = 142,263 × 142,263
  4. Step 4: Simplify right side
    94,202x = 20,238,761,169
  5. Step 5: Solve for x
    x = 20,238,761,169/94,202
  6. Step 6: Final answer
    x = 214,844.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.