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Finding the Third Proportional to 74,426 and 101,065

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Solution

The third proportional to 74,426 and 101,065 is: 137,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,426 : 101,065 = 101,065 : x
  2. Step 2: Convert to fraction form
    74,426/101,065 = 101,065/x
  3. Step 3: Cross multiply
    74,426x = 101,065 × 101,065
  4. Step 4: Simplify right side
    74,426x = 10,214,134,225
  5. Step 5: Solve for x
    x = 10,214,134,225/74,426
  6. Step 6: Final answer
    x = 137,238.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.