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Finding the Third Proportional to 63,149.63 and 97,594.88

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Solution

The third proportional to 63,149.63 and 97,594.88 is: 150,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,149.63 : 97,594.88 = 97,594.88 : x
  2. Step 2: Convert to fraction form
    63,149.63/97,594.88 = 97,594.88/x
  3. Step 3: Cross multiply
    63,149.63x = 97,594.88 × 97,594.88
  4. Step 4: Simplify right side
    63,149.63x = 9,524,759,626.27
  5. Step 5: Solve for x
    x = 9,524,759,626.27/63,149.63
  6. Step 6: Final answer
    x = 150,828.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.