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Finding the Third Proportional to 65,826 and 95,751

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Solution

The third proportional to 65,826 and 95,751 is: 139,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826 : 95,751 = 95,751 : x
  2. Step 2: Convert to fraction form
    65,826/95,751 = 95,751/x
  3. Step 3: Cross multiply
    65,826x = 95,751 × 95,751
  4. Step 4: Simplify right side
    65,826x = 9,168,254,001
  5. Step 5: Solve for x
    x = 9,168,254,001/65,826
  6. Step 6: Final answer
    x = 139,280.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.