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Finding the Third Proportional to 64,620 and 95,077

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Solution

The third proportional to 64,620 and 95,077 is: 139,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,620 : 95,077 = 95,077 : x
  2. Step 2: Convert to fraction form
    64,620/95,077 = 95,077/x
  3. Step 3: Cross multiply
    64,620x = 95,077 × 95,077
  4. Step 4: Simplify right side
    64,620x = 9,039,635,929
  5. Step 5: Solve for x
    x = 9,039,635,929/64,620
  6. Step 6: Final answer
    x = 139,889.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.