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Finding the Third Proportional to 75,720 and 114,632

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Solution

The third proportional to 75,720 and 114,632 is: 173,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,720 : 114,632 = 114,632 : x
  2. Step 2: Convert to fraction form
    75,720/114,632 = 114,632/x
  3. Step 3: Cross multiply
    75,720x = 114,632 × 114,632
  4. Step 4: Simplify right side
    75,720x = 13,140,495,424
  5. Step 5: Solve for x
    x = 13,140,495,424/75,720
  6. Step 6: Final answer
    x = 173,540.62

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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.