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Finding the Third Proportional to 66,005.63 and 140,192.25

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Solution

The third proportional to 66,005.63 and 140,192.25 is: 297,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,005.63 : 140,192.25 = 140,192.25 : x
  2. Step 2: Convert to fraction form
    66,005.63/140,192.25 = 140,192.25/x
  3. Step 3: Cross multiply
    66,005.63x = 140,192.25 × 140,192.25
  4. Step 4: Simplify right side
    66,005.63x = 19,653,866,960.06
  5. Step 5: Solve for x
    x = 19,653,866,960.06/66,005.63
  6. Step 6: Final answer
    x = 297,760.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.