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Finding the Third Proportional to 92,710 and 219,623

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Solution

The third proportional to 92,710 and 219,623 is: 520,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,710 : 219,623 = 219,623 : x
  2. Step 2: Convert to fraction form
    92,710/219,623 = 219,623/x
  3. Step 3: Cross multiply
    92,710x = 219,623 × 219,623
  4. Step 4: Simplify right side
    92,710x = 48,234,262,129
  5. Step 5: Solve for x
    x = 48,234,262,129/92,710
  6. Step 6: Final answer
    x = 520,270.33

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.