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Finding the Third Proportional to 63,424 and 94,938

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Solution

The third proportional to 63,424 and 94,938 is: 142,110.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,424 : 94,938 = 94,938 : x
  2. Step 2: Convert to fraction form
    63,424/94,938 = 94,938/x
  3. Step 3: Cross multiply
    63,424x = 94,938 × 94,938
  4. Step 4: Simplify right side
    63,424x = 9,013,223,844
  5. Step 5: Solve for x
    x = 9,013,223,844/63,424
  6. Step 6: Final answer
    x = 142,110.62

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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.