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Finding the Third Proportional to 64,461 and 96,723

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Solution

The third proportional to 64,461 and 96,723 is: 145,131.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,461 : 96,723 = 96,723 : x
  2. Step 2: Convert to fraction form
    64,461/96,723 = 96,723/x
  3. Step 3: Cross multiply
    64,461x = 96,723 × 96,723
  4. Step 4: Simplify right side
    64,461x = 9,355,338,729
  5. Step 5: Solve for x
    x = 9,355,338,729/64,461
  6. Step 6: Final answer
    x = 145,131.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.