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Finding the Third Proportional to 64,953 and 139,769

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Solution

The third proportional to 64,953 and 139,769 is: 300,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953 : 139,769 = 139,769 : x
  2. Step 2: Convert to fraction form
    64,953/139,769 = 139,769/x
  3. Step 3: Cross multiply
    64,953x = 139,769 × 139,769
  4. Step 4: Simplify right side
    64,953x = 19,535,373,361
  5. Step 5: Solve for x
    x = 19,535,373,361/64,953
  6. Step 6: Final answer
    x = 300,761.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.