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Finding the Third Proportional to 110,531 and 175,287

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Solution

The third proportional to 110,531 and 175,287 is: 277,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,531 : 175,287 = 175,287 : x
  2. Step 2: Convert to fraction form
    110,531/175,287 = 175,287/x
  3. Step 3: Cross multiply
    110,531x = 175,287 × 175,287
  4. Step 4: Simplify right side
    110,531x = 30,725,532,369
  5. Step 5: Solve for x
    x = 30,725,532,369/110,531
  6. Step 6: Final answer
    x = 277,981.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.