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Finding the Third Proportional to 118,887 and 176,364

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Solution

The third proportional to 118,887 and 176,364 is: 261,628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,887 : 176,364 = 176,364 : x
  2. Step 2: Convert to fraction form
    118,887/176,364 = 176,364/x
  3. Step 3: Cross multiply
    118,887x = 176,364 × 176,364
  4. Step 4: Simplify right side
    118,887x = 31,104,260,496
  5. Step 5: Solve for x
    x = 31,104,260,496/118,887
  6. Step 6: Final answer
    x = 261,628.78

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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.