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Finding the Third Proportional to 84,247 and 126,712.50

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Solution

The third proportional to 84,247 and 126,712.50 is: 190,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,247 : 126,712.50 = 126,712.50 : x
  2. Step 2: Convert to fraction form
    84,247/126,712.50 = 126,712.50/x
  3. Step 3: Cross multiply
    84,247x = 126,712.50 × 126,712.50
  4. Step 4: Simplify right side
    84,247x = 16,056,057,656.25
  5. Step 5: Solve for x
    x = 16,056,057,656.25/84,247
  6. Step 6: Final answer
    x = 190,583.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.