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Finding the Third Proportional to 96,637.50 and 139,189.50

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Solution

The third proportional to 96,637.50 and 139,189.50 is: 200,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,637.50 : 139,189.50 = 139,189.50 : x
  2. Step 2: Convert to fraction form
    96,637.50/139,189.50 = 139,189.50/x
  3. Step 3: Cross multiply
    96,637.50x = 139,189.50 × 139,189.50
  4. Step 4: Simplify right side
    96,637.50x = 19,373,716,910.25
  5. Step 5: Solve for x
    x = 19,373,716,910.25/96,637.50
  6. Step 6: Final answer
    x = 200,478.25

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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.