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Finding the Third Proportional to 59,164.88 and 127,352.25

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Solution

The third proportional to 59,164.88 and 127,352.25 is: 274,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,164.88 : 127,352.25 = 127,352.25 : x
  2. Step 2: Convert to fraction form
    59,164.88/127,352.25 = 127,352.25/x
  3. Step 3: Cross multiply
    59,164.88x = 127,352.25 × 127,352.25
  4. Step 4: Simplify right side
    59,164.88x = 16,218,595,580.06
  5. Step 5: Solve for x
    x = 16,218,595,580.06/59,164.88
  6. Step 6: Final answer
    x = 274,125.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.