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Finding the Third Proportional to 42,095 and 90,751

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Solution

The third proportional to 42,095 and 90,751 is: 195,646.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,095 : 90,751 = 90,751 : x
  2. Step 2: Convert to fraction form
    42,095/90,751 = 90,751/x
  3. Step 3: Cross multiply
    42,095x = 90,751 × 90,751
  4. Step 4: Simplify right side
    42,095x = 8,235,744,001
  5. Step 5: Solve for x
    x = 8,235,744,001/42,095
  6. Step 6: Final answer
    x = 195,646.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.