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Finding the Third Proportional to 45,689 and 68,534

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Solution

The third proportional to 45,689 and 68,534 is: 102,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689 : 68,534 = 68,534 : x
  2. Step 2: Convert to fraction form
    45,689/68,534 = 68,534/x
  3. Step 3: Cross multiply
    45,689x = 68,534 × 68,534
  4. Step 4: Simplify right side
    45,689x = 4,696,909,156
  5. Step 5: Solve for x
    x = 4,696,909,156/45,689
  6. Step 6: Final answer
    x = 102,801.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.