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Finding the Third Proportional to 55,632 and 92,376

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Solution

The third proportional to 55,632 and 92,376 is: 153,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,632 : 92,376 = 92,376 : x
  2. Step 2: Convert to fraction form
    55,632/92,376 = 92,376/x
  3. Step 3: Cross multiply
    55,632x = 92,376 × 92,376
  4. Step 4: Simplify right side
    55,632x = 8,533,325,376
  5. Step 5: Solve for x
    x = 8,533,325,376/55,632
  6. Step 6: Final answer
    x = 153,388.79

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.