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Finding the Third Proportional to 118,881.75 and 176,358

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Solution

The third proportional to 118,881.75 and 176,358 is: 261,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,881.75 : 176,358 = 176,358 : x
  2. Step 2: Convert to fraction form
    118,881.75/176,358 = 176,358/x
  3. Step 3: Cross multiply
    118,881.75x = 176,358 × 176,358
  4. Step 4: Simplify right side
    118,881.75x = 31,102,144,164
  5. Step 5: Solve for x
    x = 31,102,144,164/118,881.75
  6. Step 6: Final answer
    x = 261,622.53

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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.