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Finding the Third Proportional to 68,031 and 105,599.25

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Solution

The third proportional to 68,031 and 105,599.25 is: 163,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031 : 105,599.25 = 105,599.25 : x
  2. Step 2: Convert to fraction form
    68,031/105,599.25 = 105,599.25/x
  3. Step 3: Cross multiply
    68,031x = 105,599.25 × 105,599.25
  4. Step 4: Simplify right side
    68,031x = 11,151,201,600.56
  5. Step 5: Solve for x
    x = 11,151,201,600.56/68,031
  6. Step 6: Final answer
    x = 163,913.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.