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Finding the Third Proportional to 84,102 and 126,506.25

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Solution

The third proportional to 84,102 and 126,506.25 is: 190,290.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102 : 126,506.25 = 126,506.25 : x
  2. Step 2: Convert to fraction form
    84,102/126,506.25 = 126,506.25/x
  3. Step 3: Cross multiply
    84,102x = 126,506.25 × 126,506.25
  4. Step 4: Simplify right side
    84,102x = 16,003,831,289.06
  5. Step 5: Solve for x
    x = 16,003,831,289.06/84,102
  6. Step 6: Final answer
    x = 190,290.73

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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.