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Finding the Third Proportional to 83,531 and 175,263

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Solution

The third proportional to 83,531 and 175,263 is: 367,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531 : 175,263 = 175,263 : x
  2. Step 2: Convert to fraction form
    83,531/175,263 = 175,263/x
  3. Step 3: Cross multiply
    83,531x = 175,263 × 175,263
  4. Step 4: Simplify right side
    83,531x = 30,717,119,169
  5. Step 5: Solve for x
    x = 30,717,119,169/83,531
  6. Step 6: Final answer
    x = 367,733.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.