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Finding the Third Proportional to 66,016.13 and 142,554

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Solution

The third proportional to 66,016.13 and 142,554 is: 307,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,016.13 : 142,554 = 142,554 : x
  2. Step 2: Convert to fraction form
    66,016.13/142,554 = 142,554/x
  3. Step 3: Cross multiply
    66,016.13x = 142,554 × 142,554
  4. Step 4: Simplify right side
    66,016.13x = 20,321,642,916
  5. Step 5: Solve for x
    x = 20,321,642,916/66,016.13
  6. Step 6: Final answer
    x = 307,828.47

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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.