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Finding the Third Proportional to 74,038 and 105,519

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Solution

The third proportional to 74,038 and 105,519 is: 150,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,038 : 105,519 = 105,519 : x
  2. Step 2: Convert to fraction form
    74,038/105,519 = 105,519/x
  3. Step 3: Cross multiply
    74,038x = 105,519 × 105,519
  4. Step 4: Simplify right side
    74,038x = 11,134,259,361
  5. Step 5: Solve for x
    x = 11,134,259,361/74,038
  6. Step 6: Final answer
    x = 150,385.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.