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Finding the Third Proportional to 73,390 and 116,632

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Solution

The third proportional to 73,390 and 116,632 is: 185,352.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,390 : 116,632 = 116,632 : x
  2. Step 2: Convert to fraction form
    73,390/116,632 = 116,632/x
  3. Step 3: Cross multiply
    73,390x = 116,632 × 116,632
  4. Step 4: Simplify right side
    73,390x = 13,603,023,424
  5. Step 5: Solve for x
    x = 13,603,023,424/73,390
  6. Step 6: Final answer
    x = 185,352.55

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.