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Finding the Third Proportional to 40,145 and 61,265

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Solution

The third proportional to 40,145 and 61,265 is: 93,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,145 : 61,265 = 61,265 : x
  2. Step 2: Convert to fraction form
    40,145/61,265 = 61,265/x
  3. Step 3: Cross multiply
    40,145x = 61,265 × 61,265
  4. Step 4: Simplify right side
    40,145x = 3,753,400,225
  5. Step 5: Solve for x
    x = 3,753,400,225/40,145
  6. Step 6: Final answer
    x = 93,496.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.