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Finding the Third Proportional to 109,134 and 241,210

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Solution

The third proportional to 109,134 and 241,210 is: 533,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,134 : 241,210 = 241,210 : x
  2. Step 2: Convert to fraction form
    109,134/241,210 = 241,210/x
  3. Step 3: Cross multiply
    109,134x = 241,210 × 241,210
  4. Step 4: Simplify right side
    109,134x = 58,182,264,100
  5. Step 5: Solve for x
    x = 58,182,264,100/109,134
  6. Step 6: Final answer
    x = 533,126.84

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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.