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Finding the Third Proportional to 85,594.13 and 133,063.31

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Solution

The third proportional to 85,594.13 and 133,063.31 is: 206,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,594.13 : 133,063.31 = 133,063.31 : x
  2. Step 2: Convert to fraction form
    85,594.13/133,063.31 = 133,063.31/x
  3. Step 3: Cross multiply
    85,594.13x = 133,063.31 × 133,063.31
  4. Step 4: Simplify right side
    85,594.13x = 17,705,845,133.47
  5. Step 5: Solve for x
    x = 17,705,845,133.47/85,594.13
  6. Step 6: Final answer
    x = 206,858.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.