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Finding the Third Proportional to 96,064 and 143,712

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Solution

The third proportional to 96,064 and 143,712 is: 214,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,064 : 143,712 = 143,712 : x
  2. Step 2: Convert to fraction form
    96,064/143,712 = 143,712/x
  3. Step 3: Cross multiply
    96,064x = 143,712 × 143,712
  4. Step 4: Simplify right side
    96,064x = 20,653,138,944
  5. Step 5: Solve for x
    x = 20,653,138,944/96,064
  6. Step 6: Final answer
    x = 214,993.53

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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.