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Finding the Third Proportional to 59,905.50 and 142,453.50

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Solution

The third proportional to 59,905.50 and 142,453.50 is: 338,750.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,905.50 : 142,453.50 = 142,453.50 : x
  2. Step 2: Convert to fraction form
    59,905.50/142,453.50 = 142,453.50/x
  3. Step 3: Cross multiply
    59,905.50x = 142,453.50 × 142,453.50
  4. Step 4: Simplify right side
    59,905.50x = 20,292,999,662.25
  5. Step 5: Solve for x
    x = 20,292,999,662.25/59,905.50
  6. Step 6: Final answer
    x = 338,750.19

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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.