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Finding the Third Proportional to 41,125.75 and 90,106

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Solution

The third proportional to 41,125.75 and 90,106 is: 197,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,125.75 : 90,106 = 90,106 : x
  2. Step 2: Convert to fraction form
    41,125.75/90,106 = 90,106/x
  3. Step 3: Cross multiply
    41,125.75x = 90,106 × 90,106
  4. Step 4: Simplify right side
    41,125.75x = 8,119,091,236
  5. Step 5: Solve for x
    x = 8,119,091,236/41,125.75
  6. Step 6: Final answer
    x = 197,421.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.