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Finding the Third Proportional to 96,512.50 and 139,232

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Solution

The third proportional to 96,512.50 and 139,232 is: 200,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,512.50 : 139,232 = 139,232 : x
  2. Step 2: Convert to fraction form
    96,512.50/139,232 = 139,232/x
  3. Step 3: Cross multiply
    96,512.50x = 139,232 × 139,232
  4. Step 4: Simplify right side
    96,512.50x = 19,385,549,824
  5. Step 5: Solve for x
    x = 19,385,549,824/96,512.50
  6. Step 6: Final answer
    x = 200,860.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.