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Finding the Third Proportional to 65,756.25 and 142,022.25

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Solution

The third proportional to 65,756.25 and 142,022.25 is: 306,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,756.25 : 142,022.25 = 142,022.25 : x
  2. Step 2: Convert to fraction form
    65,756.25/142,022.25 = 142,022.25/x
  3. Step 3: Cross multiply
    65,756.25x = 142,022.25 × 142,022.25
  4. Step 4: Simplify right side
    65,756.25x = 20,170,319,495.06
  5. Step 5: Solve for x
    x = 20,170,319,495.06/65,756.25
  6. Step 6: Final answer
    x = 306,743.76

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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.