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Finding the Third Proportional to 63,407 and 94,912

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Solution

The third proportional to 63,407 and 94,912 is: 142,070.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,407 : 94,912 = 94,912 : x
  2. Step 2: Convert to fraction form
    63,407/94,912 = 94,912/x
  3. Step 3: Cross multiply
    63,407x = 94,912 × 94,912
  4. Step 4: Simplify right side
    63,407x = 9,008,287,744
  5. Step 5: Solve for x
    x = 9,008,287,744/63,407
  6. Step 6: Final answer
    x = 142,070.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.