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Finding the Third Proportional to 107,021 and 234,342

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Solution

The third proportional to 107,021 and 234,342 is: 513,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,021 : 234,342 = 234,342 : x
  2. Step 2: Convert to fraction form
    107,021/234,342 = 234,342/x
  3. Step 3: Cross multiply
    107,021x = 234,342 × 234,342
  4. Step 4: Simplify right side
    107,021x = 54,916,172,964
  5. Step 5: Solve for x
    x = 54,916,172,964/107,021
  6. Step 6: Final answer
    x = 513,134.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.