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Finding the Third Proportional to 116,392 and 185,963

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Solution

The third proportional to 116,392 and 185,963 is: 297,118.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,392 : 185,963 = 185,963 : x
  2. Step 2: Convert to fraction form
    116,392/185,963 = 185,963/x
  3. Step 3: Cross multiply
    116,392x = 185,963 × 185,963
  4. Step 4: Simplify right side
    116,392x = 34,582,237,369
  5. Step 5: Solve for x
    x = 34,582,237,369/116,392
  6. Step 6: Final answer
    x = 297,118.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.