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Finding the Third Proportional to 59,100.26 and 128,247.05

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Solution

The third proportional to 59,100.26 and 128,247.05 is: 278,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,100.26 : 128,247.05 = 128,247.05 : x
  2. Step 2: Convert to fraction form
    59,100.26/128,247.05 = 128,247.05/x
  3. Step 3: Cross multiply
    59,100.26x = 128,247.05 × 128,247.05
  4. Step 4: Simplify right side
    59,100.26x = 16,447,305,032.16
  5. Step 5: Solve for x
    x = 16,447,305,032.16/59,100.26
  6. Step 6: Final answer
    x = 278,294.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.