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Finding the Third Proportional to 65,732.74 and 141,974.93

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Solution

The third proportional to 65,732.74 and 141,974.93 is: 306,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732.74 : 141,974.93 = 141,974.93 : x
  2. Step 2: Convert to fraction form
    65,732.74/141,974.93 = 141,974.93/x
  3. Step 3: Cross multiply
    65,732.74x = 141,974.93 × 141,974.93
  4. Step 4: Simplify right side
    65,732.74x = 20,156,880,815.75
  5. Step 5: Solve for x
    x = 20,156,880,815.75/65,732.74
  6. Step 6: Final answer
    x = 306,649.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.