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Finding the Third Proportional to 65,753.44 and 143,807.06

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Solution

The third proportional to 65,753.44 and 143,807.06 is: 314,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,753.44 : 143,807.06 = 143,807.06 : x
  2. Step 2: Convert to fraction form
    65,753.44/143,807.06 = 143,807.06/x
  3. Step 3: Cross multiply
    65,753.44x = 143,807.06 × 143,807.06
  4. Step 4: Simplify right side
    65,753.44x = 20,680,471,224.88
  5. Step 5: Solve for x
    x = 20,680,471,224.88/65,753.44
  6. Step 6: Final answer
    x = 314,515.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.