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Finding the Third Proportional to 137,614 and 210,522

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Solution

The third proportional to 137,614 and 210,522 is: 322,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,614 : 210,522 = 210,522 : x
  2. Step 2: Convert to fraction form
    137,614/210,522 = 210,522/x
  3. Step 3: Cross multiply
    137,614x = 210,522 × 210,522
  4. Step 4: Simplify right side
    137,614x = 44,319,512,484
  5. Step 5: Solve for x
    x = 44,319,512,484/137,614
  6. Step 6: Final answer
    x = 322,056.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.