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Finding the Third Proportional to 84,915 and 122,080.50

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Solution

The third proportional to 84,915 and 122,080.50 is: 175,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,915 : 122,080.50 = 122,080.50 : x
  2. Step 2: Convert to fraction form
    84,915/122,080.50 = 122,080.50/x
  3. Step 3: Cross multiply
    84,915x = 122,080.50 × 122,080.50
  4. Step 4: Simplify right side
    84,915x = 14,903,648,480.25
  5. Step 5: Solve for x
    x = 14,903,648,480.25/84,915
  6. Step 6: Final answer
    x = 175,512.55

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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.