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Finding the Third Proportional to 115,432.50 and 173,910

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Solution

The third proportional to 115,432.50 and 173,910 is: 262,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,432.50 : 173,910 = 173,910 : x
  2. Step 2: Convert to fraction form
    115,432.50/173,910 = 173,910/x
  3. Step 3: Cross multiply
    115,432.50x = 173,910 × 173,910
  4. Step 4: Simplify right side
    115,432.50x = 30,244,688,100
  5. Step 5: Solve for x
    x = 30,244,688,100/115,432.50
  6. Step 6: Final answer
    x = 262,011.90

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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.