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Finding the Third Proportional to 64,572 and 96,924

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Solution

The third proportional to 64,572 and 96,924 is: 145,485.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,572 : 96,924 = 96,924 : x
  2. Step 2: Convert to fraction form
    64,572/96,924 = 96,924/x
  3. Step 3: Cross multiply
    64,572x = 96,924 × 96,924
  4. Step 4: Simplify right side
    64,572x = 9,394,261,776
  5. Step 5: Solve for x
    x = 9,394,261,776/64,572
  6. Step 6: Final answer
    x = 145,485.07

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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.