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Finding the Third Proportional to 40,465.13 and 88,175.25

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Solution

The third proportional to 40,465.13 and 88,175.25 is: 192,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,465.13 : 88,175.25 = 88,175.25 : x
  2. Step 2: Convert to fraction form
    40,465.13/88,175.25 = 88,175.25/x
  3. Step 3: Cross multiply
    40,465.13x = 88,175.25 × 88,175.25
  4. Step 4: Simplify right side
    40,465.13x = 7,774,874,712.56
  5. Step 5: Solve for x
    x = 7,774,874,712.56/40,465.13
  6. Step 6: Final answer
    x = 192,137.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.