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Finding the Third Proportional to 74,061.75 and 111,747

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Solution

The third proportional to 74,061.75 and 111,747 is: 168,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,061.75 : 111,747 = 111,747 : x
  2. Step 2: Convert to fraction form
    74,061.75/111,747 = 111,747/x
  3. Step 3: Cross multiply
    74,061.75x = 111,747 × 111,747
  4. Step 4: Simplify right side
    74,061.75x = 12,487,392,009
  5. Step 5: Solve for x
    x = 12,487,392,009/74,061.75
  6. Step 6: Final answer
    x = 168,607.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.