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Finding the Third Proportional to 65,942.44 and 144,460.13

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Solution

The third proportional to 65,942.44 and 144,460.13 is: 316,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,942.44 : 144,460.13 = 144,460.13 : x
  2. Step 2: Convert to fraction form
    65,942.44/144,460.13 = 144,460.13/x
  3. Step 3: Cross multiply
    65,942.44x = 144,460.13 × 144,460.13
  4. Step 4: Simplify right side
    65,942.44x = 20,868,727,715.02
  5. Step 5: Solve for x
    x = 20,868,727,715.02/65,942.44
  6. Step 6: Final answer
    x = 316,468.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.