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Finding the Third Proportional to 63,851.63 and 96,263.44

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Solution

The third proportional to 63,851.63 and 96,263.44 is: 145,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,851.63 : 96,263.44 = 96,263.44 : x
  2. Step 2: Convert to fraction form
    63,851.63/96,263.44 = 96,263.44/x
  3. Step 3: Cross multiply
    63,851.63x = 96,263.44 × 96,263.44
  4. Step 4: Simplify right side
    63,851.63x = 9,266,649,399.32
  5. Step 5: Solve for x
    x = 9,266,649,399.32/63,851.63
  6. Step 6: Final answer
    x = 145,127.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.