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Finding the Third Proportional to 68,952 and 148,944

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Solution

The third proportional to 68,952 and 148,944 is: 321,735.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,952 : 148,944 = 148,944 : x
  2. Step 2: Convert to fraction form
    68,952/148,944 = 148,944/x
  3. Step 3: Cross multiply
    68,952x = 148,944 × 148,944
  4. Step 4: Simplify right side
    68,952x = 22,184,315,136
  5. Step 5: Solve for x
    x = 22,184,315,136/68,952
  6. Step 6: Final answer
    x = 321,735.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.