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Finding the Third Proportional to 78,003 and 109,984.50

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Solution

The third proportional to 78,003 and 109,984.50 is: 155,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,003 : 109,984.50 = 109,984.50 : x
  2. Step 2: Convert to fraction form
    78,003/109,984.50 = 109,984.50/x
  3. Step 3: Cross multiply
    78,003x = 109,984.50 × 109,984.50
  4. Step 4: Simplify right side
    78,003x = 12,096,590,240.25
  5. Step 5: Solve for x
    x = 12,096,590,240.25/78,003
  6. Step 6: Final answer
    x = 155,078.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.