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Finding the Third Proportional to 59,955 and 132,415.50

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Solution

The third proportional to 59,955 and 132,415.50 is: 292,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,955 : 132,415.50 = 132,415.50 : x
  2. Step 2: Convert to fraction form
    59,955/132,415.50 = 132,415.50/x
  3. Step 3: Cross multiply
    59,955x = 132,415.50 × 132,415.50
  4. Step 4: Simplify right side
    59,955x = 17,533,864,640.25
  5. Step 5: Solve for x
    x = 17,533,864,640.25/59,955
  6. Step 6: Final answer
    x = 292,450.42

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.