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Finding the Third Proportional to 76,934.50 and 173,623

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Solution

The third proportional to 76,934.50 and 173,623 is: 391,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934.50 : 173,623 = 173,623 : x
  2. Step 2: Convert to fraction form
    76,934.50/173,623 = 173,623/x
  3. Step 3: Cross multiply
    76,934.50x = 173,623 × 173,623
  4. Step 4: Simplify right side
    76,934.50x = 30,144,946,129
  5. Step 5: Solve for x
    x = 30,144,946,129/76,934.50
  6. Step 6: Final answer
    x = 391,826.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.