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Finding the Third Proportional to 59,600.25 and 126,308.25

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Solution

The third proportional to 59,600.25 and 126,308.25 is: 267,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,600.25 : 126,308.25 = 126,308.25 : x
  2. Step 2: Convert to fraction form
    59,600.25/126,308.25 = 126,308.25/x
  3. Step 3: Cross multiply
    59,600.25x = 126,308.25 × 126,308.25
  4. Step 4: Simplify right side
    59,600.25x = 15,953,774,018.06
  5. Step 5: Solve for x
    x = 15,953,774,018.06/59,600.25
  6. Step 6: Final answer
    x = 267,679.65

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.