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Finding the Third Proportional to 64,574 and 96,927

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Solution

The third proportional to 64,574 and 96,927 is: 145,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,574 : 96,927 = 96,927 : x
  2. Step 2: Convert to fraction form
    64,574/96,927 = 96,927/x
  3. Step 3: Cross multiply
    64,574x = 96,927 × 96,927
  4. Step 4: Simplify right side
    64,574x = 9,394,843,329
  5. Step 5: Solve for x
    x = 9,394,843,329/64,574
  6. Step 6: Final answer
    x = 145,489.57

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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.