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Finding the Third Proportional to 45,689.70 and 68,155.80

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Solution

The third proportional to 45,689.70 and 68,155.80 is: 101,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,689.70 : 68,155.80 = 68,155.80 : x
  2. Step 2: Convert to fraction form
    45,689.70/68,155.80 = 68,155.80/x
  3. Step 3: Cross multiply
    45,689.70x = 68,155.80 × 68,155.80
  4. Step 4: Simplify right side
    45,689.70x = 4,645,213,712.60
  5. Step 5: Solve for x
    x = 4,645,213,712.60/45,689.70
  6. Step 6: Final answer
    x = 101,668.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.