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Finding the Third Proportional to 42,269.63 and 99,963

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Solution

The third proportional to 42,269.63 and 99,963 is: 236,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,269.63 : 99,963 = 99,963 : x
  2. Step 2: Convert to fraction form
    42,269.63/99,963 = 99,963/x
  3. Step 3: Cross multiply
    42,269.63x = 99,963 × 99,963
  4. Step 4: Simplify right side
    42,269.63x = 9,992,601,369
  5. Step 5: Solve for x
    x = 9,992,601,369/42,269.63
  6. Step 6: Final answer
    x = 236,401.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.