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Finding the Third Proportional to 74,054 and 111,735

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Solution

The third proportional to 74,054 and 111,735 is: 168,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,054 : 111,735 = 111,735 : x
  2. Step 2: Convert to fraction form
    74,054/111,735 = 111,735/x
  3. Step 3: Cross multiply
    74,054x = 111,735 × 111,735
  4. Step 4: Simplify right side
    74,054x = 12,484,710,225
  5. Step 5: Solve for x
    x = 12,484,710,225/74,054
  6. Step 6: Final answer
    x = 168,589.28

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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.