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Finding the Third Proportional to 51,432 and 109,776

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Solution

The third proportional to 51,432 and 109,776 is: 234,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 109,776 = 109,776 : x
  2. Step 2: Convert to fraction form
    51,432/109,776 = 109,776/x
  3. Step 3: Cross multiply
    51,432x = 109,776 × 109,776
  4. Step 4: Simplify right side
    51,432x = 12,050,770,176
  5. Step 5: Solve for x
    x = 12,050,770,176/51,432
  6. Step 6: Final answer
    x = 234,304.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.