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Finding the Third Proportional to 66,596.25 and 141,668.25

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Solution

The third proportional to 66,596.25 and 141,668.25 is: 301,366.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,596.25 : 141,668.25 = 141,668.25 : x
  2. Step 2: Convert to fraction form
    66,596.25/141,668.25 = 141,668.25/x
  3. Step 3: Cross multiply
    66,596.25x = 141,668.25 × 141,668.25
  4. Step 4: Simplify right side
    66,596.25x = 20,069,893,058.06
  5. Step 5: Solve for x
    x = 20,069,893,058.06/66,596.25
  6. Step 6: Final answer
    x = 301,366.71

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.