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Finding the Third Proportional to 109,129 and 241,202

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Solution

The third proportional to 109,129 and 241,202 is: 533,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,129 : 241,202 = 241,202 : x
  2. Step 2: Convert to fraction form
    109,129/241,202 = 241,202/x
  3. Step 3: Cross multiply
    109,129x = 241,202 × 241,202
  4. Step 4: Simplify right side
    109,129x = 58,178,404,804
  5. Step 5: Solve for x
    x = 58,178,404,804/109,129
  6. Step 6: Final answer
    x = 533,115.90

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.