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Finding the Third Proportional to 63,642 and 96,813

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Solution

The third proportional to 63,642 and 96,813 is: 147,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,642 : 96,813 = 96,813 : x
  2. Step 2: Convert to fraction form
    63,642/96,813 = 96,813/x
  3. Step 3: Cross multiply
    63,642x = 96,813 × 96,813
  4. Step 4: Simplify right side
    63,642x = 9,372,756,969
  5. Step 5: Solve for x
    x = 9,372,756,969/63,642
  6. Step 6: Final answer
    x = 147,273.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.