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Finding the Third Proportional to 65,965.13 and 155,564.63

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Solution

The third proportional to 65,965.13 and 155,564.63 is: 366,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,965.13 : 155,564.63 = 155,564.63 : x
  2. Step 2: Convert to fraction form
    65,965.13/155,564.63 = 155,564.63/x
  3. Step 3: Cross multiply
    65,965.13x = 155,564.63 × 155,564.63
  4. Step 4: Simplify right side
    65,965.13x = 24,200,352,551.39
  5. Step 5: Solve for x
    x = 24,200,352,551.39/65,965.13
  6. Step 6: Final answer
    x = 366,865.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.