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Finding the Third Proportional to 64,505 and 94,861

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Solution

The third proportional to 64,505 and 94,861 is: 139,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,505 : 94,861 = 94,861 : x
  2. Step 2: Convert to fraction form
    64,505/94,861 = 94,861/x
  3. Step 3: Cross multiply
    64,505x = 94,861 × 94,861
  4. Step 4: Simplify right side
    64,505x = 8,998,609,321
  5. Step 5: Solve for x
    x = 8,998,609,321/64,505
  6. Step 6: Final answer
    x = 139,502.51

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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.