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Finding the Third Proportional to 65,576.25 and 140,707.13

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Solution

The third proportional to 65,576.25 and 140,707.13 is: 301,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576.25 : 140,707.13 = 140,707.13 : x
  2. Step 2: Convert to fraction form
    65,576.25/140,707.13 = 140,707.13/x
  3. Step 3: Cross multiply
    65,576.25x = 140,707.13 × 140,707.13
  4. Step 4: Simplify right side
    65,576.25x = 19,798,495,025.77
  5. Step 5: Solve for x
    x = 19,798,495,025.77/65,576.25
  6. Step 6: Final answer
    x = 301,915.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.