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Finding the Third Proportional to 74,774 and 106,651

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Solution

The third proportional to 74,774 and 106,651 is: 152,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,774 : 106,651 = 106,651 : x
  2. Step 2: Convert to fraction form
    74,774/106,651 = 106,651/x
  3. Step 3: Cross multiply
    74,774x = 106,651 × 106,651
  4. Step 4: Simplify right side
    74,774x = 11,374,435,801
  5. Step 5: Solve for x
    x = 11,374,435,801/74,774
  6. Step 6: Final answer
    x = 152,117.52

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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.