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Finding the Third Proportional to 118,158 and 176,826

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Solution

The third proportional to 118,158 and 176,826 is: 264,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,158 : 176,826 = 176,826 : x
  2. Step 2: Convert to fraction form
    118,158/176,826 = 176,826/x
  3. Step 3: Cross multiply
    118,158x = 176,826 × 176,826
  4. Step 4: Simplify right side
    118,158x = 31,267,434,276
  5. Step 5: Solve for x
    x = 31,267,434,276/118,158
  6. Step 6: Final answer
    x = 264,623.93

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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.