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Finding the Third Proportional to 72,432 and 96,144

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Solution

The third proportional to 72,432 and 96,144 is: 127,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,432 : 96,144 = 96,144 : x
  2. Step 2: Convert to fraction form
    72,432/96,144 = 96,144/x
  3. Step 3: Cross multiply
    72,432x = 96,144 × 96,144
  4. Step 4: Simplify right side
    72,432x = 9,243,668,736
  5. Step 5: Solve for x
    x = 9,243,668,736/72,432
  6. Step 6: Final answer
    x = 127,618.58

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.