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Finding the Third Proportional to 68,623 and 109,586

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Solution

The third proportional to 68,623 and 109,586 is: 175,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,623 : 109,586 = 109,586 : x
  2. Step 2: Convert to fraction form
    68,623/109,586 = 109,586/x
  3. Step 3: Cross multiply
    68,623x = 109,586 × 109,586
  4. Step 4: Simplify right side
    68,623x = 12,009,091,396
  5. Step 5: Solve for x
    x = 12,009,091,396/68,623
  6. Step 6: Final answer
    x = 175,000.97

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.