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Finding the Third Proportional to 74,026 and 105,503

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Solution

The third proportional to 74,026 and 105,503 is: 150,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,026 : 105,503 = 105,503 : x
  2. Step 2: Convert to fraction form
    74,026/105,503 = 105,503/x
  3. Step 3: Cross multiply
    74,026x = 105,503 × 105,503
  4. Step 4: Simplify right side
    74,026x = 11,130,883,009
  5. Step 5: Solve for x
    x = 11,130,883,009/74,026
  6. Step 6: Final answer
    x = 150,364.51

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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.