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Finding the Third Proportional to 118,832 and 185,536

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Solution

The third proportional to 118,832 and 185,536 is: 289,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,832 : 185,536 = 185,536 : x
  2. Step 2: Convert to fraction form
    118,832/185,536 = 185,536/x
  3. Step 3: Cross multiply
    118,832x = 185,536 × 185,536
  4. Step 4: Simplify right side
    118,832x = 34,423,607,296
  5. Step 5: Solve for x
    x = 34,423,607,296/118,832
  6. Step 6: Final answer
    x = 289,682.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.