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Finding the Third Proportional to 85,232.25 and 133,705.69

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Solution

The third proportional to 85,232.25 and 133,705.69 is: 209,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,232.25 : 133,705.69 = 133,705.69 : x
  2. Step 2: Convert to fraction form
    85,232.25/133,705.69 = 133,705.69/x
  3. Step 3: Cross multiply
    85,232.25x = 133,705.69 × 133,705.69
  4. Step 4: Simplify right side
    85,232.25x = 17,877,210,869.85
  5. Step 5: Solve for x
    x = 17,877,210,869.85/85,232.25
  6. Step 6: Final answer
    x = 209,747.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.