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Finding the Third Proportional to 63,935 and 94,663

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Solution

The third proportional to 63,935 and 94,663 is: 140,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,935 : 94,663 = 94,663 : x
  2. Step 2: Convert to fraction form
    63,935/94,663 = 94,663/x
  3. Step 3: Cross multiply
    63,935x = 94,663 × 94,663
  4. Step 4: Simplify right side
    63,935x = 8,961,083,569
  5. Step 5: Solve for x
    x = 8,961,083,569/63,935
  6. Step 6: Final answer
    x = 140,159.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.