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Finding the Third Proportional to 126,459 and 190,523

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Solution

The third proportional to 126,459 and 190,523 is: 287,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,459 : 190,523 = 190,523 : x
  2. Step 2: Convert to fraction form
    126,459/190,523 = 190,523/x
  3. Step 3: Cross multiply
    126,459x = 190,523 × 190,523
  4. Step 4: Simplify right side
    126,459x = 36,299,013,529
  5. Step 5: Solve for x
    x = 36,299,013,529/126,459
  6. Step 6: Final answer
    x = 287,041.76

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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.