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Finding the Third Proportional to 85,588.69 and 133,564.69

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Solution

The third proportional to 85,588.69 and 133,564.69 is: 208,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,588.69 : 133,564.69 = 133,564.69 : x
  2. Step 2: Convert to fraction form
    85,588.69/133,564.69 = 133,564.69/x
  3. Step 3: Cross multiply
    85,588.69x = 133,564.69 × 133,564.69
  4. Step 4: Simplify right side
    85,588.69x = 17,839,525,746.97
  5. Step 5: Solve for x
    x = 17,839,525,746.97/85,588.69
  6. Step 6: Final answer
    x = 208,433.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.