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Finding the Third Proportional to 63,861 and 96,675.75

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Solution

The third proportional to 63,861 and 96,675.75 is: 146,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,861 : 96,675.75 = 96,675.75 : x
  2. Step 2: Convert to fraction form
    63,861/96,675.75 = 96,675.75/x
  3. Step 3: Cross multiply
    63,861x = 96,675.75 × 96,675.75
  4. Step 4: Simplify right side
    63,861x = 9,346,200,638.06
  5. Step 5: Solve for x
    x = 9,346,200,638.06/63,861
  6. Step 6: Final answer
    x = 146,352.24

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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.