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Finding the Third Proportional to 60,432 and 110,928

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Solution

The third proportional to 60,432 and 110,928 is: 203,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,432 : 110,928 = 110,928 : x
  2. Step 2: Convert to fraction form
    60,432/110,928 = 110,928/x
  3. Step 3: Cross multiply
    60,432x = 110,928 × 110,928
  4. Step 4: Simplify right side
    60,432x = 12,305,021,184
  5. Step 5: Solve for x
    x = 12,305,021,184/60,432
  6. Step 6: Final answer
    x = 203,617.64

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.