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Finding the Third Proportional to 88,530.25 and 133,465.73

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Solution

The third proportional to 88,530.25 and 133,465.73 is: 201,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,530.25 : 133,465.73 = 133,465.73 : x
  2. Step 2: Convert to fraction form
    88,530.25/133,465.73 = 133,465.73/x
  3. Step 3: Cross multiply
    88,530.25x = 133,465.73 × 133,465.73
  4. Step 4: Simplify right side
    88,530.25x = 17,813,101,861.24
  5. Step 5: Solve for x
    x = 17,813,101,861.24/88,530.25
  6. Step 6: Final answer
    x = 201,209.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.