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Finding the Third Proportional to 74,836 and 113,031

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Solution

The third proportional to 74,836 and 113,031 is: 170,720.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,836 : 113,031 = 113,031 : x
  2. Step 2: Convert to fraction form
    74,836/113,031 = 113,031/x
  3. Step 3: Cross multiply
    74,836x = 113,031 × 113,031
  4. Step 4: Simplify right side
    74,836x = 12,776,006,961
  5. Step 5: Solve for x
    x = 12,776,006,961/74,836
  6. Step 6: Final answer
    x = 170,720.07

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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.