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Finding the Third Proportional to 138,427.25 and 212,210.75

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Solution

The third proportional to 138,427.25 and 212,210.75 is: 325,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,427.25 : 212,210.75 = 212,210.75 : x
  2. Step 2: Convert to fraction form
    138,427.25/212,210.75 = 212,210.75/x
  3. Step 3: Cross multiply
    138,427.25x = 212,210.75 × 212,210.75
  4. Step 4: Simplify right side
    138,427.25x = 45,033,402,415.56
  5. Step 5: Solve for x
    x = 45,033,402,415.56/138,427.25
  6. Step 6: Final answer
    x = 325,321.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.