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Finding the Third Proportional to 59,539.64 and 128,427.19

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Solution

The third proportional to 59,539.64 and 128,427.19 is: 277,017.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,539.64 : 128,427.19 = 128,427.19 : x
  2. Step 2: Convert to fraction form
    59,539.64/128,427.19 = 128,427.19/x
  3. Step 3: Cross multiply
    59,539.64x = 128,427.19 × 128,427.19
  4. Step 4: Simplify right side
    59,539.64x = 16,493,542,489.16
  5. Step 5: Solve for x
    x = 16,493,542,489.16/59,539.64
  6. Step 6: Final answer
    x = 277,017.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.